{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73bd968b-d970-4a05-94ef-4e7abf990827",
   "metadata": {},
   "source": [
    "Chapter 14\n",
    "\n",
    "# 等比数列\n",
    "Book_3《数学要素》 | 鸢尾花书：从加减乘除到机器学习 (第二版)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04d486dc-a595-43d2-a51b-95d06015e9c1",
   "metadata": {},
   "source": [
    "这段代码的目的是生成并展示多个不同公比的几何数列（Geometric Progression, GP），也叫等比数列，序列。几何数列的形式是： \n",
    "\n",
    "$$\n",
    "a_k = a \\cdot q^{k-1}\n",
    "$$\n",
    "\n",
    "其中，$a$ 是首项，$q$ 是公比，$k$ 是项的编号。代码中定义了首项 $a = 1$ 和项数 $n = 50$，并通过循环使用多个不同的公比 $q$ 生成相应的几何数列。公比列表 `q_list = [1.1, 1, 0.9, -0.9, -1, -1.1]` 包含正数、负数、大于1的数和小于1的数，分别用于展示几何数列在不同公比条件下的增长、衰减或振荡行为。\n",
    "\n",
    "代码中的主要步骤如下：\n",
    "\n",
    "1. **生成几何数列**：对于每一个公比 $q$，使用列表推导式生成几何数列 `GP_sequence`。每个数列的项根据公式 $a \\cdot q^{i}$ 计算，$i$ 从 0 到 $n-1$。\n",
    "   \n",
    "2. **生成索引**：为每一项定义对应的索引，即序号 $k$ 从 1 到 $n$。\n",
    "\n",
    "3. **可视化**：代码为每个公比创建一个子图，通过 `plt.plot` 函数绘制每个几何数列的点图。横坐标表示项的序号 $k$，纵坐标表示项的值 $a_k$。以点的形式展示数列各项值的变化趋势。每个子图包含网格线、标签和合适的坐标范围，以便清晰地观察不同公比下数列的变化。\n",
    "\n",
    "最终，代码通过`plt.show()`显示6个子图，每个子图对应一种公比条件，帮助我们直观了解几何数列在公比不同的情况下是如何变化的。例如，当 $q > 1$ 时，数列呈指数增长；当 $0 < q < 1$ 时，数列呈指数衰减；而当 $q$ 为负数时，数列则出现振荡。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a84d7a35-cc8a-42c5-8d2a-b5653f173a84",
   "metadata": {},
   "source": [
    "## 导入包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "419787ba-972c-4ca3-b955-45bee220737e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "p = plt.rcParams  # 获取默认绘图参数\n",
    "p[\"font.sans-serif\"] = [\"Roboto\"]  # 设置无衬线字体为 Roboto\n",
    "p[\"font.weight\"] = \"light\"  # 设置字体粗细为 light\n",
    "p[\"ytick.minor.visible\"] = True  # 显示 y 轴的小刻度\n",
    "p[\"xtick.minor.visible\"] = True  # 显示 x 轴的小刻度\n",
    "p[\"axes.grid\"] = True  # 启用坐标轴网格\n",
    "p[\"grid.color\"] = \"0.5\"  # 设置网格颜色为灰色\n",
    "p[\"grid.linewidth\"] = 0.5  # 设置网格线宽度"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "49dda2dc-14fa-4ab8-926b-fa200983d16a",
   "metadata": {},
   "source": [
    "## 初始化参数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "487d6f16-acaf-4a2c-8118-6c71406cf634",
   "metadata": {},
   "outputs": [],
   "source": [
    "a = 1    # 初始项\n",
    "n = 50   # 项数\n",
    "q_list = [1.1, 1, 0.9, -0.9, -1, -1.1]  # 公比列表"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ac655d4-e2ef-4561-89eb-7ec8eda57e07",
   "metadata": {},
   "source": [
    "## 可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a682a984-df81-4e46-b903-87a40a2b5054",
   "metadata": {},
   "outputs": [
    {
     "data": {
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zbKZT8cuuXpd2Fn4T7ckb73WRTvNzJlJ4TvQ9P1YLHlwpG+fY/MUvfqH3ve99docBABiE1+3QvNLiuIqaLB6UIfrnJZCkiY6+YuZo5yUAACCZ7JyLzM55Mu0qYCXaeysbevWla6/LRCRSwEqn6yJd58m0Szq9b5Olq6tLeXl5kuwrKAMABhcKheRyuUZ93ljeRE2/bG8Dn88nn88X14fP/nkJ7tuyX26Fx/W8BACAsRMKhfTwww8rNzdXpmmqqqpKt956a9QxTz31lM6fPx+1LRgMqqioSOvWrZMkfe1rX1NpaWnUMR/5yEdUXFwccyxj+cHDzvkQ01EiRY5EV1QfbUEqkWkG7OrJa6dECt7JmLd1rObn7C8wxjPNQCK9LtO1sJnI7zYd7dmzJ2r0QFdXl5588kkFg0GZpqn3vve9KisrG/L87u5udXd3Rx4HAgFJfbkyni/imSTeOXyzDe0UO9oqNpnWTp2dfR30RjtNSigUUjgcVigUGvTcZLZT+mV7G9TV1amurk6BQEBer3fU56+prdKyuVP0q+2/0YrlN1PUBADoySef1Lp161RQUCBJ2rp1q5qamqK+wH3oQx8acN5TTz2lW265JfJ45syZWrt2bUKxjPZLdH/vx3gKotnYAysRds/POZqiUjbOk2kXO3tsjrbgnUhh0855Mu2SbT0WDx06pD/5kz+JPJ42bZre/e53R3pwPvjgg7rjjjs0YcKEQc+vr6/Xpk2bxiJUAMha8eSmRPL/aKXVp8Dx1LtltEq9Hk3Jd1DUBABI6stp/UVNSbrtttv0xBNP6BOf+MSw57W3t6uwsDCpsYy2yNHfQy6ewmY29sxLRKJzbPb09MR97mh7yyVawHK73aM+T+ortKVjASsRds3b2v++H23BO9t6XSI2fr9/QMHy/e9/f9Tju+66S5s3b9bHP/7xQZ9j48aN2rBhQ+RxIBBQZWWlPB6PPB6+d0miHWJEO8WOtopNprRT/+ez0f48vb29KiwslGmag57bfwMrGdLqk8J46t0yWpZlxT3cCACQWXp6egYUJx0Ox4hf4F9++WUt+v/Z+/MwOaozzRu+I/esrH2TVKoqSUhIIJBAArEYhA1tGywwAn0Y2RgMGNMeKLi60bjdLtrdbo3fofxO97zzfaO3bMDYxiy2RWtkY8CiB4OxLxbT8rAjBEJIVZKqpNozK/cl4vujiFRmVmTmiXMiI3J5ftfFhSoyT0ZkxMk4J+5zP8+zdm3WNiPcPTzCpipg8bi3eCcytShgiebnVMOHeNrqDVcm16V5iIai6xW81TQDar/gEbx5oH5R3ezZswdbtmwp+J5i19/tdnMvihAEQRClQx3DJUkqeRRFRc0UysndopdKDYchCIIgjGdsbAwdHR3zthdzQL755ptZIXvBYBDHjx/Hz3/+cwBzK6nXXXdd3vEmXy6ycDisK29OMBhEMplEMplEKBTSJXKEQiG43W7E43HduXpisRgikQhXW7WN+hm5FMrzU6wtyzGLtOU9V4lEQve1lWUZiUQCyWQSwWBwnmhd6DyFQiEkk0nEYjGEw2Fdgnc4HEZjY6Ml56kS+1Q0GuVum0gkEAqFdM2N1TxZar/Q49YOBoNwOBxc5ykcDiMej3N9VyN+t5XUpyqReDyetXiSTCbxzDPPYPPmzVnvo2cogiCIyiORSMDj8ZiS27tiRolyc7fohVacCYIgCJV8jqdCzrx8QsSZZ56Jm2++GTfffDP+6q/+Cg899FDezxgYGEBTU1P6v56envTx6EENJ+dxjdViOLlV8F4fkWurttWbpoD6hXnw5NhUry1PCHxmKLpe93EturRrhZdffhmf+tSnsrY5HA6MjIxkbXvjjTewcuVKMw+NIAiCMIDMuUOpi+JVjNJmhbsln7MlX1WnQoRCIQD6K0mVK9W2YlxK6FyxQeeJHTpXbJTzeeIRB373u9/Nyz1WX1+Pyy+/PP13W1sbFi1ahKmpKbS2ts77jHy5yBwOh668OcFgEE6nE5IkweVy6WrrcDjQ0NCgux0wF3Lo9Xq52qpt1M/Ih9ZrrG0LHbNIW95zVV9fr/vaAkBdXR3q6+sRj8fzttXa7nA40u2cTqeu8FCXywWfz2fJeaq1PlVfX4+ZmRldbdUiPqrbQu9vvr6+HsFgEG63O6+AbfR5MuIcl1ufMjIfmdUcOHAAF1100bzt1113HX74wx+m7x+NjY340pe+ZPbhEQRBEIKILIrqpWKETaPdLeqD4OTkJB566CH89V//9bz3GVlljxybBEEQhEpnZydee+01XW0ikQjTQ/Kpp56Kw4cPawqb+XKR8bi3vF4v1wpsZk5Ovfk5CX3w5OfMnITqzc+ZuzJPee/KCzUtEk/xoEw3buaiv562PPk5iepFLeqaS0dHB+68807dnzc4OIjBwcGSPzwTBEEQbIhEAemlYpQ2K9wt+ZwtTqdT9wpsKBSqyup81fZ9SgmdKzboPLFD56ow5exscblc6SgAFTW3oRZ/+ctfcO65587b/tRTT+Hyyy/PylkzOTmZDjFnhSe0VHSiwlNdmWBDJK+3yCRUDTkWXZknwbs0qKIij+Ct/uZ5BW+73Z7uUyR4E6Wgr68PfX19CAQCaGpqsvpwCIIgyopRfwSHJkJY1u7DoiZzniHV+ahacLSUVEzSms7OTkxMTOhqo9fdkovb7UZjY2PWf7yQY5MgCILIxOl0YnZ2Nv33008/jUsvvVTzve+99x5Wr149b/s555yDPXv2ZG3bv3+/bmFTJN+eSGXmUq/e1iqiVahVcdKKfsHjJiTYMKI6Oa9LW32wEfnN6xVjCYIgCIIAdu4dxkU/eAE3/Pg1XPSDF7Bz77Cp+6ccmxmUm7tFLyRsEgRBEJls3boV999/PzweDxKJBBYvXoylS5emQ9TPP/98AIDf78/rPunq6kJLSwseeOABOBwOxONxfPrTny652y1T/NLr3lIhAat0iIT7plIpeL1eruujOi15wpVVVLcnzZm0ERH3RM6riOCtIuLkVfsj9QuCIAiCYGfUH0H/7ncgfzJ9kBXg3t3v4pKVHSV3bqrPI5RjMwfV3dLQ0ACguLvl5ptvnrdddbds3rw5vW3//v3zqvIZTTKZhNPpLOk+CIIgiMrB6XTi7rvvnrddFTRVmpqacM011+T9nEsuuQSXXHKJrn0bkYtMkiRLHZvVHq4sImAZ4cwTObcOhyNdNJGnLYUr58eINAMibW02G/d9w+FwcBd1U/sFCZsEQRAEwc6hiVBa1GyRwphW6pBSFByeCJsWkk45NnOodHcL70SUIAiCIIzEqFxkIhMV0XDlas/PKSJgiTrzRMUjUWceb79Qc0dWs+Atem15F9nV/YqcW9H7BTm8CYIgCEIfy9p9sElzTs02WxjTqTrYJQlL2+tKvm91kZ5C0XOwyt1iVJW9WphwEwRBELWDSDi5Ee6tahY2Rd11mSl39KAWABKBwpVLh2i/4C06Z8T81SqHN82/awOqik4QBDGfRU1eDGxZg+/ufhsupGCXJNy35UzT3JoATBl/yULIQF9fH/bt24e9e/cKfQ6tNhMEQRDVhKh7S0QUrfbCQ0bkQ+TBCAFINFy52gsPiaYZEMmfaqXoa5WTt1L6hYhLmzDueY0gCKLa2LqhF//7bz+Fr563GC9951Js3dBr9SEZDo2eJmJGmXuCIAiCqAREBaxKqK5slYBldS5CK8OVK0HwtjLNgJUuZysF70roF1b/bgmCIIjqpdVjx/IFTUJOTb3zWjMjJUjYNBGn08k1sRr1R/DKwQmM+iMlOCqCIAiCMB+rw5XNQCQPqIjIYbUzTwSrw5XNwKocqFYLZ6IFqard4W319SEIgiCql3g8zp2mCOAbh82aVwEVlmOz0uFxbO7cO4z+3e9AVgCbBAxsWVOV1mGCIAiitqiF6sqirkveyuBWO/NEsDpc2ax+YUWeTMBc94SRWFV4SG9+Tqtc2gRBEARRCCOEzUQiUbYLcOTYNBGn06lL2Bz1R9KiJqBAVoB7d79Lzk2CIAhCiMHBQaxevRobNmyw7BhE3VuVUF3ZStdlpQpYooK3Wa4+UQGrUl2XVmGVk1evw9uqNAMEQRAEUYh4PA6n06m7nTrf4Y0+NgsSNk1Eb2c4NBH6RNQEemx+AEBKUXB4IlyKwyMIgiBqhEovsiDqzBMRsPQIWpWcD9EqrBK89fYL0TQDlVoAyCpsNhtkWeZqa2beVhKtraMcFuwIgiDKlVQqxTX3UOcdPNHHlGOzzDBqoNTbGZa1+2CTAECBV5prZ5ckLG2vEzoOgiAIgqhkzHTmZQpYevdLIoe5mOnkzb0+JHiXFisd3nraWpU/laj8BTuCIIhyJJFIwOl0cjk2zcyxScImA0YNlHonR4uavBjYsgYuCXBKKdglCfdtOVOokhVBEARBVDpmVlfOFBv0Or9EnXm1KGCJYLYzL1PwNsvVB1RumgGr0CtaZz6Iifzm9RakqlXRmiAIgihfVGGTx7FpJrQsyIEkSVw5dHgmols39OK8nnq88tpeXPaZS0jUJAiCIGoeM6srZ4pQPAKWz+fTfYwqJGDpQ2+4cqbo5HA4EA6zp/rJdOapfYo1dxU588zFKpe2ul/WflGraQYIgiCI8kXEsWkm5NjkQCSkhYdWrx2ndDaSqEkQBEEQHBjlwBIJS9Xr3iL0o1cIznTF8vQLK5y8hH70Ct5GuXGpXxAEQRBGMuqP4JWDE6YWk850bOrVwMxcoKdlQQ7MrKgKnOxMBEEQBGEEg4ODGBwcNHUss5Jcdx2vOCni3lJFDhrPywfRa+vxeNJteR2BquBN7tzyQcSlLdKnAHJpEwRBENrs3DuM/t3vQFYAmwQMbFmDrRt6S75fVYsq9wV6cmxyYLZjk4RNgiAIwkhqrchCpjOPx73F68BKpVLptDVmL4oSxRF14/KGK2cKmSJ5QYn8iDx8ZYqTdrtdt+DN26cyUdNeEQRBEMSoP5IWNV1IQlaAe3e/a4pzM5FIcKdJoeJBZY7Zk9B4PA6Xy2Xa/giCIAiimsgUJ/U6okTcW5n7M3tRtFYQmTRnXlsRwdvMqtsEG5muWL2I5tU1ql/QQog+BgcHsXr1amzYsMHqQyEIgjCUQxMhyJ9Md7rtfgBASlFweII9N7iK3nmTyHhqJhSKzkBuyJ7ZwiYlmScIgiBqHaMELL2IOPMyEZk7ULhyfkSqx4sUaxFx8mZCAlZpEPnNJ5NJuN1uAPoF79y8rbFYjOsYaiF1xZ133on169en//b5fPjKV76C9957D3/4wx/g9XoRDAZx3XXXYfHixUU/r6+vD319fQgEAmhqairloRMEQZjKsnYfbBIgK0CdFAcA2CUJS9vrdH2OWgCoGscWUssYyB0ozZ6E0sMMQRAEUesYJUKJtLXKmae3unItIXpt1TyZeslNM2BFv1DDldXjIE4i2i98Ph/3vo1waVe7kzcYDOLyyy/H5s2bs7YrioJXXnkFd911V3rbAw88gG9+85tmHyJBEETZsKjJi4Eta3Dv7nfhRRJ2ScJ9W87UXVza6XQiHo+bNp+k4kFljsPhQDwet/owCIIgCKJmEKkYnEqluCdxmQKWXvdWJiJzBzXPHwmb8xEVvEXCqzIFLCucvOp+q1XYFFnYt8rJmwmFoudnbGwMHR0d87a//PLLuOyyy7K2rVixAkePHkV3d7dZh0cQBFF2bN3Qi4tOacHzL7yI//n5S3WLmgDgcrmQSCRKcHTaUI7NMocSvRMEQRCVTCXmIjPKdcmDESvO5N7Kj1VpBoxK9SMqeFO/0EZEnCyHfiEqWlfztR0fH0dnZ+e87UNDQ1i+fHnWtrVr12L//v1mHRpBEETZ0uKx4ZSFzVyiJnDSsWkGZkcdk2OTg2pfRSUIgiCqG6tykYk6sKwWKkSwSuSohHBlq1yXRjnzRLDK7VkJiAqbRqQZEMFms3GL9na7HdFoVPgYypXx8XFMTk7ipZdegiRJWLJkCT7zmc9onq/29naMj4/n/axYLJaVyzQQCAAAIpFIzbvcq7kPGQmdJ3boXLFRqvPk9/ths9kQieivhh6Px5FKpRAMBtHQ0KCrnbq/zH8XI5FIIJVKpd8fi8XmtTXyPJGwyYGaxJ8gCIIgeEkkEnjwwQfhcrkgyzJ6e3vxhS98Yd77nnjiCfj9/ixBcN26dTjnnHMAADt37oTfP1ch0W6347bbbjPnC3AgIkKVgwNLBCvzc5Z7uLLotfV6+ZwL5XBerOoXqsvU6u9fiEp3aYtQ7Y7NpUuXwuFwYNOmTQCAt99+G08//bTmeyVJKij+DwwMYPv27SU5ToIgiHIiFouli9vxYKZj0+zFYxI2Gcitil5JjPojODQRwrJ2H7dlmSAIgjCeJ554Arfccku6SMXTTz+NkZERdHV1Zb0vHo/j9ttv1/yMP//5zzjttNNw1llnAQCOHTuGZ555BldeeWVpD54TUWcer4BVDgKOqHuLt7pyJRQestJ1abWAZZWTV83bWurfhYhLW0ScFHF7lgPVHh125plnZv29du1avPHGG5rXW1GUgv20v78f27ZtS/8dCATQ09MDr9fLPWZUG3Qe2KDzxA6dKzZKcZ4aGhq4PtflcqG+vh4Oh0NXe5fLlX5/5r+LoRbiU9/vdrvnteWNrNCifJdpy4i+vj7s27cPe/fu5WpvhLtTnYDqYefeYVz0gxdww49fw0U/eAE79w4LHwdBEARhDIlEIqvy7qZNm/D888/r+oz9+/enRU0AWLx4ccGQvXyo4cqlptJdl1YhKmCZ4fyySsCq9H4hInhXQn7OSs+TaRXVnmZAC4fDoXkPGR8fR3t7e952brcbjY2NWf8RBEFUI7xjqrrAb+ZirtnjcEWN+JUatmeEDdflciEejzMr5KP+CPp3vwNFUeBCCnHFgXt3v4tLVnaQc5MgCMJi4vE46uvrs7bZbDbNsaLQJETLhccToqInXFmWZSEBq5LzIVqFVdWV9eTntKoKtWhl80qmEorTiLoueZ3G5ZBmQAQRwbsS2LVrF6677rqsbTabDT09PThw4ABOPfXU9Pa33noLq1atMvsQCYIgSoIVEbXxeBwul8uUfakkk0lT91lRTwiVGrZnhFqt5kNgFTYPTYQgK4AXSTTbIhiVG5FSFByeCJOwSRAEYTFjY2Po6OiYt13LNRmNRvHEE08gEolAlmVcfvnl6XFP68G3kPMyX5GFVCqF2dlZpjGGJRl4PoLBIOx2O1cS8lAolN633ra579WTwJylbT5y38vbVpZlhMNhrrbJZBLRaJRZ8M78vmq/yJyY5jtP0WhUqF94vV6utpFIBLFYLC226+kXufuptD6VSCQQCoW4+0UwGGSen2rtl0U4DIVCSCaTXMUD1OPj6RfxeDzrc0V+t5XQpyqNxsZGfPTRR1ixYgWAuXtcJBLBxRdfjPvvvz9L2Hz//ffxuc99zqpDJQiCMIyde4fRv/sdyApgk4CBLWuwdUOvrs+w2Wy6F5OtEjYzI9NKTUUJm1phe48//jhuuukm5s/Yv38/brnllvTfixcvxnPPPWfkYc7DCGFTdWyysqzdB5sEOJCCE3MPgXZJwtL2OqHjIAiCIMTJ5zLTEioXLFiAz372s+k8NPfffz++/OUvo7m5WfOzC7l88hVZ0JPuRNSZxzuxKoc8mVZhZX5Os/pFJefJtAqzKqrnphlQ3Z4sv2WRa1vpeTKJ/Hz+85/HL3/5S7z44ouQJAnRaBRf/epXAQAbN27Ejh074PV64ff75zk7CYIgKhE1olZWgDrEEVZcXBG1brdbl+ENsEbYTCQSWeO/niggHipG2Cy3sD09GCVshsNh5vcvavJiYMsa/OuvX4NDkmGXJNy35UxyaxIEQZQBegSJq666Kuvvb3zjG9i5cye++tWv6hZ08hVZ8Pl8zMnEc5OBe71euN1upomKw+HISnquJwl5btJxPW1z36uVwFwld7uetsWOWaStyLmKxWJMbRVFyWrr8/ngdDo12+Zui8ViqK+vL5gkPh92ux319fXpSbdV56kS+xTv902lUmmnbDESiQTq6urS762rq8vbL3IJh8NZx6jnPNntdjQ0NKTvLXrOUzmcY71tWY7ZyEILVvOVr3xFc/sZZ5yBM844Q/fnVXKxV4Igqh81ohYAFtsDOJBq54qodblczPM6lXg8jro6cw1uuRpYqYsWVoywaUXYXr6QvUgkoiu0JBgMwul0psOlWNupxONxJJNJzM7O6mp79ZkdWOI4HUcn/Dhn7WosbPTo3nc+qiUUxgzoXLFB54kdOldslPN56uzsxGuvvcbVNnf1Uw9ut1tzMU+vYzN3osLq3qrlfIhWoUdE15qEsrr6ct11NptNV37OWs2fahV6cmzmXh+9fSr3YYq10FQtu7QJ/fT19aGvrw+BQABNTU1WHw5BEEQWakStrAD10pzGxBNR63a7dT/jWOHYzB3D1XkHb+7sYlTMbEFv2N7VV1+Nm2++Gbfeeit++9vfYmZmJu9n5wvvGhgYQFNTU/q/np4e4WPnDZfiTfLe4JJwelczFjZWzwovQRBEpeNyudKLZSqyLCORSGRtSyaTePLJJ+e1VycKWiHGPIKunjEmV/wSaUuUHr3XJ3OuZVa/IAHLfMz8zWsJ3gRBEARRS6gRtXZJglNKcUfUut1u3SmGrDAW5OpepS5aWDFPF1aE7eUL2fN6vbpCS9RQGtUp4/F4dB2Hy+VCXV2drjAaFdWZo7cdK6X63GqEzhUbdJ7YoXNVmHIP2XM6nZidnUVDQwOAuYJ4l156adZ7HA4HRkZGsra98cYbWLlyJQBg9erVeP3117F+/XoAcwXxWltbdR+L3W6fJ6rmI5lMZrk+9YzPiqKQgGUykiQx5+fUcuaxCuX53J5mOwQIbWRZzpp76nFpawnerHnf87k9yblNEARB1BpbN/TikpUdePbZf8f/74pLudIE6q29omJ1PnKRvOBMn1+yTzYYK8L28oXs6SVzsu9wOJBIJGiiTxAEUeNs3boV999/PzweDxKJBBYvXoylS5emx7rzzz8fAHDdddfhhz/8YXo8amxsxJe+9KX0e371q1/hL3/5C4C58eaOO+7QfSyZlYeLoSVU8K7A6glXJtjIFbD0YKQbV3RlnjVcmWAj93erR/AWSVGQr1/QPJggCIKoRdrrHOhpq+eufaJn/LaS3GPUM3fgoWKETT1he8888ww2b96ctd3osD09ZCZJdTqdNKEjCIIg4HQ6cffdd8/brgqaKh0dHbjzzjvzfs6Xv/xl3fvOLbIgmoeR1e2ZC4kcxiOSr9LIHJsiK/Oq4E2uPuMQCUNLpVLcLu3chQvRBxsSvAmCIIhKJhqNVnTUHe847HA4dIfQ66GiLBJq2J6KSNieCm/Ynl7Ui686NgmCIAjCKvr6+rBv3z7s3bsXgH73llECVqnz7dQiInlMRa5tviTxPJQ6XKkWEe0XRrlxRdra7XbKz0nkZXBwEKtXr8aGDRusPhSCIIi8RCIR1NXVVcR4litiiozDlGMzg3IK2+NFdWyyQivTBEEQRDmRmydTVKgQEbBojJyPqDOPN1w5FxFnHjl5tRFJMyDq5M3sUyK/Wz35OXNR+xQ5eQktqCo6QRBmMuqP4NBECMvafbrCyiORCJqbmxGLxcreuZlIJLKqmKsmPZZxWKt4EOXY/AQrw/aMwuFwIBQKMb/fygqyvD9WgiAIonawyr1VzeHKInlHjXTmiWBVvwCqV/A2Ms2ASFsRwdvhcCAcDnO3zS1eRhAEQRBms3PvMPp3vwNZAWwSMLBlDbZu6GVqm0gk0NzcrDsk3Yq8mrnCph6Tntk5NisqFN0qjAxtcDqdukLRczsTDzyT+517h3HRD17ADT9+DRf94AXs3DssdAwEQRBEdSLq3qJw5fkY6bo0a7+5iFwfkclvNYcrG5lmQA+5Lm0RRJ28og5vgiAIghBh1B9B/+530IS5RTpZAe7d/S5G/WxFOAHA6/XqrvMSj8dNj2TJ59jkwWazlXQcJmGTgdxcZCLoDUU3QtjUi/pjlT/pdzw/VoIgCKI2EHVvWeXqK2escl1Wg4BF/cL4tkZC+Tm1EUkzQBAEQZjHoYkQZAVYZDtZ+yWlKDg8wR6N4Ha7dQubsVgMHo9HVxtRRBybZkPCpsnYbDZdk3UrlHn1x9ogReHFnCKv98dKEARBlC/lUmTBKrcnUN7urXJxXYogItJYmbe11IimGbDCyWskItfHiLyt5Uq5XB+CIAiiMMvafbBJgM92Ml+0XZKwtL2O+TN4FnBjsZjpqVhEHJtmL9aRsGkyei+wEY5NvRNB9cdaJyXgleY6rt4fK0EQBFG+GBmJIIKogFXO7q1qyJNpFVbn5ywlIteHBO/qdXhXw++WIAiiFljU5MXAljVpIc0uSbhvy5klr0kSjUYNETb1LDAamWOz1NAIWuYYIWy63W7EYjHmCZP6Yx38zUuQoMAOc36sBEEQRG1RzdWVRcVJ3rG/GpxfVjnzVMG7lP0ilUpxf34ymeQOQzMyzYBVWJW3VU23UUr3CQmb4gwODmJwcLCsHdsEQVQHWzf0wnm8B39z2nlY1llvik5iVCSv0+lEPB5nKlyUOzaJ5NgsNTSCljlGTHRUYdPn8zG32bqhF8tcZ+FEIIZz155OoiZBEARhONVcXVlEOE0mk7oqZWZSDRXBRcOVY7EYV1u1X5Sz4F0OrkursCpvq5pGqth1E8mTWevX1gj6+vrQ19eHQCCApqYmqw+HIIgqRpZldDQ34uzFPtTVmaOTGLVA6XK5kEgkmOaZuXPKUhcAEqGyl25NwspcZEY8oKjCpl5afW6cvqiRRE2CIAii7DCjonq+yRvLpM6qkONqQDRcudR5WynNgDVYlZOXtU/Rb54gCKKyGPVH8MrBCd1FkiORCNra2hCJVF5xZdWxWWoox2YZUi65yPSiPnjxCpsEQRAEUa6I5tjkFbBYxZVqyIdYiZiRtzWfgMUqeFd6ASCrEHlIMiO9AYnWBEEQlcPOvcO46Acv4IYfv4aLfvACdu4dZm4bCoXQ3t7OHTlkJapjs9SY7ewkYbOKUSfA5Z4wnSAIgiD0YoZ7S0tIMsO9RSIHP1Y588wQvKshzYBVsPYLrQcxkfsFa7oN+s0TBEGYx6g/gv7d78CHKABAVoB7d7/L7NwMh8NobW21zDymJ5VTbpoUsxybZkPCJiciecFE9qmnimssFjMkwSxBEARRXViZYsUozKiunE/AYm0r4rokAYsPNR9iMUQELK1ra4arj+CHVbTO59Lm7Resgje5tAmCIMzj0EQIsgL02mfS21KKgsMTbA5M3rHcqAVKl8vFLE6KVDavJEjY5EQkpIUXp9OpyzZsVOUsHnjzVRAEQRClp1JTrPCQT8DideaJCljlmnS9WmB9YNASsMrdyUvwwyp4G31tRfoUoY9qWLAjCMIclrX7YJMAnxQHMDcvs0sSlrbXlXS/0WjUkMKVLpeL2S2aqwlZYdAzAxpBOVEnKpnqd6lR8yGw/hji8Tjq6kr749Ri595h9O9+B7IC2CRgYMsabN3Qa/pxEARBEIQsy5ouqlI787SECtW9RQKG9Yi6cXMXjlnbplIpTWcehZmXFtZzK+rGza0yy9ovau36Dw0N4be//S3q6uqQSCSwatUqXHrppQCAJ554An6/P+t8rFu3Duecc07Bz6Sq6ARBsLKoyYuBLWvwyydH4UIKKcmJ+7acqbtosl6BMBKJMFUjL4bb7WZ2bFpldjN7TKOZNSciVTd50ZsPIRaLobm5GYB5HUvNVyF/8htX81VcsrKDqqsTBEEQpiOaDzF3MuhwOBCNRpn2m08gIWHTekSdebkLx3pyOObOydT9Ur+wHqNdl6LPC9UqeD7zzDO4++6703/v3r0b4+Pj6OjoQDwex+23327h0REEUUmM+iM4NBHCsnafLr1h64ZedMTOQMrbjjNXdJuiVUSj0bQ+I4Lb7UYoFGJ6bzweR0NDg/A+9ULFg8oQrdAGKwry6MmlAFijzqv5KhbYZiFhLh+onnwVBEEQBGEkWg45Pe4tXlef1n6sWBStZkQmzVrCs55wZS3RmvfaWpHeqJrRSjPASiGndTFE3J5aVOv9Yv/+/TjvvPOytl122WX4j//4D4uOiCCISkWksrmiKOhqb8GKVge3qKl34SkSicDj8aTb6qmfkolIKHq1QsImA1q5yKyYhKqh6Howe5VXzVfRIMXgwdz5MSNfBUEQBFG9iApYRlYnFxUqeNtWa04kEbTSDLCidW1FBG+r+gUxH6N/86L5OalfZNPd3Y21a9dmbYtEIulUW9XoUCUIwnjyRYqy1viIRqOor683dQFJUZT0wpvH4+Guqm6325lF0dziQWZgRbQBxbxw4nA4uDsiL3pD0TPR+zCkvl9dSWBd+VbzVfzkyT/AIyURh5srXwVBEARROgYHBzE4OFgxbiCjBSxWysmZR/k55yNSSVorzYCetrx5W7UQ6VOq4E1i0ElEhc3c/Ges51brOrC6PbWoVidvfX39vG2///3vcf311wOYExueeOIJRCIRyLKMyy+/HF1dXXk/LxaLZT2TBQIBAHNiqdkP8+UGS9oUgs6THsrpXH1wbBqyAiyyBTAqNwKYixT9cGQazQzD+8TEBFwuF/x+PyIRfQWP4/E4IpEIYrGYZtt850ltpzIzM8O8z9x95X5WoXa5x8PaVut9LG2TySRSqdS89+V+ByP7E82OObEiPMRms5nm1lAnhU6nE7FYTFeS260berHEsR4ToRTOWbOKRE2CIIgyo9KKLIgKFbwVKLUELFb3lhYOh0P35DmzLeXnzEa0X/AWWMyXJ9MKZ54qflWbgFNOLm0RyLFZnOHhYTQ3N6fv0wsWLMBnP/vZdLjm/fffjy9/+ct589INDAxg+/btZh0uQRBlwpI2L2wS0GELYUL2IQE7bBLQ28qmPYRCIbS0tGBiYqLER3qSzLHN7XZjdnbWtH2biRXzVZodc1Ltk41oNAqPxwOXy8VVvau9wYv2BpCoSRAEkYdEIoEHH3wQLpcLsiyjt7cXX/jCF+a975lnnsHRo0fhcDgQDoexdetWdHZ2pl///ve/j0WLFmW1uf7669HY2Fjy72AWos483smVloAl4owTdXtWisNWDyIClsi1FelTWthsNu5cWXa7nTsiR+1T1SZsiri081WeZ21bTsJmNf7mM0kkEnjqqafQ19eX3nbVVVdlvecb3/gGdu7cia9+9auan9Hf349t27al/w4EAujp6YHX6zWk+nA1QOeBDTpP7JTDuVrmnYsU/dmT46iT4giiDvdtORPLFrQwtXc4HKivr4fb7db1fWRZTrdxu93weDx554a5n5u5L5fLhdnZWaZ9p1Kpefc0l8vF1Fbr+7G21XofS9tkMgmfz1fw+wNIL2AZAQmbnLCGh1RqeJAqbLrdbkxNTVl9OARBEFXHE088gVtuuQU+nw8A8PTTT2NkZCQr5O7NN99ES0sLrrzyyvS2Bx54AN/85jfTfy9btgw33nijeQfOSbU4sESwOj9nOc5HRESocuoXooI3ufqyEb22vGkGyknwVhezqpmHHnoIN998c8H3FOsHbreb25VPEER5IFLZfInjHFMjRSORSDriw+12IxaLcQl0ehasY7FYRd3nrJh7U/EgTljDwsvpgUoP6g/U7Xabnktj1B/BKwcnmBP/EgRBVCKJRCItagLApk2b8Pzzz2e955133sGnPvWprG1a+ckqAatcVOU0DovmYRTNz1mOWOW6FOmPRmNV3tZyLkhlleANlE/xmmrNsany29/+FpdeemnWmJZMJvHkk0/Oey9vlXuCIMofkcrmwFyk6GkL602LFA2FQun5e11dHXeKIT3wiqdWQaHoZYpIkYVyeqDSg7oqYPakd+fe4XR1M5sEDGxZg60bek3bP0EQhBnE4/F5AqXNZps3XmQ6NVVyxyI9D+GFiizkS4Cu9RnFkoHna6eVSJwlCXkwGITH4+Fqq3633PPEksA83+ezft/c9yiKgkgkwtU2kUggGo0WzQup1TaVSmF2drbopFjr+7Imemdpq0UoFEIymeRua7fbufqFVjJ91ras/YL182VZRigU4uoXyWSSyclRqF8UC2PXastynhRF4e5TwWCQqfCAFqFQCF6vl/s+pfUe1j7F21brPYlEYl6/KKfCHSK8/fbbcDgcOO2007K2OxwOjIyMZG174403sHLlSjMPjyAIk1Arm9uVFGTYICsS7t39Li5Z2cEkVMqybLpeEQqF0NraCmAu1Hx6ehotLWzh77zEYrGKMjaI5DHnpfIUNwsQKbJQLsKm6tZgXf22ImRNvbHJn9yXZAW6bmwEQRCVwtjYGDo6OuZtzw1ZVCdOma9nCpvBYBDHjx/Hz3/+cwBzE6zrrrsur7ulUJEF1nBlrddZxgsr3XVWOLDynSfeYylnx2Yp8mSynKdycl2KwBqurHVORPJzqv2iVPk5ZVnmdtqV4n5RLk5MVqo1x6aiKPje976HK6+8Eg899FB6u8/nw1e+8hVcd911+OEPf5gW6xsbG/GlL33JqsMlCKKEHJoIQVaAXrsf47IPIcWNlKLg8ESY6fl/dnYWDQ0N6YV6HvSm68mct3g8HlMWnKLRKNra2kq+H6Mgx2YRKrHQgtZFVSewZoZVqPkfzFDOeR9w1BvbEts0huS5VQ89NzaCIIhKId9De7H757/927/h6quvztp25pln4vLLLwcATE5O4qGHHsJf//Vfa7YvVGShrq4OTqezoMihKAp3EnLVpcrT1m63pxO8622b7z35ksWzJGZnSTSfry3LMWt9vt1uRzAY5Grr8/ngcDi4jtnj8Wgmxs98n7oyXyxJvBaRSAROp5O7XzQ0NMz7LfGeY9a25danEokEd7/QOvcsbVnOUywWYyoeoJK5TXUY8/QptSBEbp8tdb8oRZ/KvT6VFIqYD0mS8Otf/zrv6x0dHbjzzjt1f65IhB1BEOLw5Mlc1u6DTQJkRUKDFENIccMuSVjazqZZ+P1+LFiwQEjY9Hq9CIfDWemhWGFNTyhKuZjlWCFhswiVWGghkUjMm4Q4HA4kEomiYUNGuibNFDbj8Xh6f3pQb2wttjCOyE2QYdN1YyMIgqgUeJw4b775JhYsWJC1YltfX58WNQGgra0NixYtwtTU1Dy3J1C4yAJLdWXRvHflUqm4ErGqurKa56+U/YJXrEmlUjWfe8+qvK2SJBVdpBd5sBHpU+VaKIsoLSIRdgRBiMGbTm5R01xl8//3Ny/DriiwSxLu23ImszCq6g56yRQj6+vrs/Jmlitmj2sicyxZlk2PqKmo2WAlFlrQmtQ5nU4kEomibROJhGHhQTxCIy/hcJhLQFVvbEk4UCcldN/YCIIgKoXOzk5MTEwwv39ychJvvPEGPvOZzxR976mnnorDhw/rPiYWkcOqKtQkYIlXVy6l+GVldfJaF7BERGuWa5vPicKyX5HFjEpzpxAEQdQq+dLJsRYC3rqhF//9+rPwnS+chpe+c6kp9TUikUjaDe/z+RAMBku+z0QiUVHjWrFF7UIUcrGWyuFaMWfWqkILouQTNlkeMIwWNicnJw35rGKEw2G0tLTA7/frXnHfuqEX3ViHQMqJs09fTqImQRBVicvlmhc2I8uy5qKXLMv4+c9/jr/927+d99pTTz2Fyy+/HC6XK71tcnISPT09uo+JxfmVT6hgyU8k6rqsdQFLBFYBS+scswpYVlQ2J8QEb7vdXnTRO988Tu1TxZy8VgneBEEQhDmo6eTqEIckKbrzZAJAq8+FVp+L+9nf5XIxFdJTUXNzAnNjIe84qodoNFo0LUk5kU+LYonYyIc6pyzF+F4xMwYrCi0Uqh7rdDqZqhyGQiEkEomsY0gmk4hGo0V/eLOzs/MqQrLsM/P41fcqisJUcVOrrdY+CyXJDQQCaG5uht1ux+TkZPqmwUpznQvNAJpdYD5eleOBKIYmI1jS5sXCxvLIQ1QtFSxLDZ0nduhcsVHu58npdGZNrJ5++mlceuml89730EMP4eabb9Ycp8455xzs2bMHmzdvTm/bv3//vMgFFljEr3yTERaRg4QK62ARrYsJWIXId21ZJr+UZsA6RK4t60IIpRkgCIKoHETyZDZLc8/tevNkqtGe4XCY+7ibmpoQCAQ09SItgsEg83uNItMlajUs87N8wqZq0ss0VbCizh1qWti0otBCoeqxrCiKMq/DOBwOJsFOxP6bi5lOF/U719XVIRQK6RY2VeePXna9PoLvPb0/ndtj+1Wn4br1XcUbEgRBWMDWrVtx//33w+PxIJFIYPHixVi6dClee+01AMD555+PP/7xj3jzzTfnjSPr1q3DOeecg66uLrS0tOCBBx6Aw+FAPB7Hpz/9aa57vtq+EMVEjmLCJjnzrEHEdckqimpde3W/xYRNErCsQXQxg7dPsbo9yKVNEARhHkbkyZQ58mROTk6io6NDSNisr6/H0NAQs1ippdGUmkgkgubmZkM/kzentJoasZDRTqtWDHCyXgyPsCmSGqnoZ5fkU0uAFYUWClWP9Xq93FUObTYbwuFw0bY2mw0NDQ1M1TRzSaVS8yqUsrYFsis7FmpXqPqjy+XC7OysrpUJteKuoii62o36I2lRE5jL7fHPT3+Az57ZVTbh7OWyQlPu0Hlih85VYcq9eqzT6cTdd989b/v555+f/venP/1pfPrTny74OZdccgkuueQSXfvWqh7L6t7SyqHMMkbzhq0Q4rCEK+cTnh0OR9Fw5XwCFouTFyABq9TkWyxmdV0WurbF2hZyAfM8FBEEQRDGky9P5iUrO5iepbdu6MUy1yxOBGI4d+3pup6/Y7EYPB4P3G43otEo8/w9c2wzK5xcBCPTDAInnZM8n+lyuZiETS2DGktaxXzzulIKm4Y8YfzsZz8z4mMKYkWhBbfbjcbGxqz/jMCM4kGxWMzyCSPPDYZF8NVCze2x0HYyZ52a24MgCEIvZoxrVtLX14d9+/Zh79696W0iOTZZJypaEx3VvUWII1INuhTOPJGK3YRx5Lu2NputaISMyG9epE8RpaUax7jBwUGsXr0aGzZssPpQCMJSRv0RvHJwgrl4D3DyWdqNBBbb/AD0P0u3+tw4bWEDt6motbUV09PTzO+3opK56CJ97hxNJE+2mle0EPnGeDWtYiHyaVGqY5Nnv6Uc/w0RNnfv3o0//OEP6b8jkQi++tWvGvHRaXgKLdx8883zXnvqqafmXcTJyUm0t7cberyFYJlIAmL5yOLxuGHCpt1uN20CGgqFuKrYq7k9FmcIm3pyexAEQWRixrhWbhiRY5N3vyRyGEMpqlCL5GEU6Rcik30im1JUrWdNUaD1AFhKxwbBRjWOcVoLdgRRa+zcO4yLfvACbvjxa7joBy9g595hpnbqs3SrLQI75sZePc/S8XgcTqdTaLFaTWPHyszMjOGh3cXIlyeTt9K32+0uKk4WasuSQkpLnFQdm8Xaas0pWU16WpRywdsQYfOxxx7DP/zDP2D//v04cOAANm7cyOSU1ItaaEFFpNBCJvv37+eqIGsGWs4Llh9OPB5nrgpWDK/Xq7uIDy/BYJBr5UXN7QFJggMp3bk9CIIgMjFrXCsnWN1bRjvzSOQwjlJUoWa5tvkcDCKiNbk9jUNE8BZ1XWrNY0WuLQnexlCLYxxBVDv5wslZnJvqs7RDUpCCTfez9NjYGDo7O9HS0gK/3891/HojTvSErRuFlktUROjzeDzcxU5ZRNF8ZjcWxyagfU1YQtHzUbY5Nrdt24azzz4bZ599Nn7605/ihhtugKIo+OlPf4p169YZdYxpyq3QQqnResBUJ5LFHlxisRh36HzuCrv6g+NxUupFlmXY7XYoiqI7pG7rhl50xtci6WnFmSt6dIuaPFXgCIKoLswe1yqNUghYJGwah6gzT0v8Yo0y0cLhcHBP2MnJm41ImoFSODZFXdq8D4GUn1MMGuMIojLgeS5Vw8klKFhs8+Oo3JwOJ2fNk7nUeRZOBKI4d+3p6Gpmj3yMRqPwer1wu904dOgQWlpamNqJjG2AcTm6WYvahcPheXVZ1IruPOOSx+OB3+9nPl+ZsISiFxI2RcbhYm2tyLEpJGx++tOfxttvv42nnnoK+/fvx8jICC644AL87//9vzEyMoIrr7zSqOMEYF2hBa0iC1ahquvFJqgioeixWCzL7en1ejE2Nsb1Wbx4PB7drlNZltGzoB2SJOkWJnmrwBEEUV2YPa5VCyITFZF0J6p7q5qKEsmyLCRgGe3ME4GcvMZh1bXNt19JkiwRvNU+RcImHzTGEUT5w/tcqoaTtyAMjzQ3fuoJJ1cUBW31bixZ2IY6G7+rXs/YMDs7q1mgppRoHZ8qThYzcmkt9tXV1SEQCHCFxXs8Hpw4cUJ3O4BtnhSPxzWLfooUW2Jpa0WOTaEZ7ObNm7F58+b035FIBO+++y7efvtt/P73v6+awbGvrw99fX0IBAJoamqy9FhY8iEAc52J90Ev19bNshpgNA0NDQgEAujo6GBuEwqF0NDQkJWugAXRKnAEQVQPtTKuGb1gZ5WAVY0iRynCyUvdNh+irj7RcOVqErxF+4XWgw0LpTiPVvULQNwdVOnUyhhHEOUAj+sy87nUgRSSip35uVQNJx/8zUuIKg7YJegKJ5+YmEB7ezsaGhpw+PBh7uhPPcLm1NQUuru7ufaTi6pZFDNGhcPheeHk9fX1CAaDXBGqXq8Xx48f190OEBMJWcayeDxueh7SQpQynYyhM1iv14sNGzZQNboS4nK5mPIhaME6kYtGo1kCrhUTwPr6ehw5ckSXsOn3+9He3q5b2FRt+8vskziUagMAXbZ9giCql2od14xesKNwZeMQdebx5tculYAlkmOTwpVPUoo0A6wYPQ8UXQgRdXiLnItSYKXYWk1jXDlF2BEEr+tSfS61QcaZjuN4M7mYI5x8LQKyG73t9VjVu4j5mGdmZrBixQrdBYB453/A/LHNZrMhlUpx3acbGxuZjFFaLlGfz4fx8XHd+wTE5sAs5KtOzoJa1KkW4JohpVIpPPTQQ9i/fz+6u7vTuVra2tqMPj4iB6fTiWAwWNJ9xGIx7kS8iUTCEMcHz8Q1Go1yPdCptv0OWygtbFJFdYKoLWhcsw4r3VvlSLm5LkWwKly5XIXNcsuTaRWiOXl5F/jV/ZabsCkqPLNQC2NcOUXYEdWFXudldjSgAlmRmF2X6nNppxTEtFwHCQpsko35uTSZTKKjsQ7nLVuGjz76iKlNJjxjVK5QqI79PJ/V1NQEv98/L49lLlpzi4aGBgwNDRUVNkOhEDo7O7O2lXNhOhFtRiSKVwQrFuu4vuXdd9+Nf/zHf8TY2Bj6+/tx5ZVXorOzE729vbj66quNPkYiAxHHJisik75wOJwV7mR2VVOeH9GiJi/uu/ZMKLDBDll3FbhRfwSvHJxgqjhHEER5QuOadYjk2DQiXLkUiOTJLEU+xErEqrytgJj7pBBWuS5LkT9VBBHBuxrztppxfWiMI2od3ue1nXuHcdEPXsANP34NF/3gBezcO1y0jeq6BBSc7RgBcDIasBhqOLlLUnBcbkCnLazrufTYsWNYvHixqcKSGsKuwpMaTqW5uRkzMzNF36dVEZ01b6RVYh8vLOH15UYpHaz54BpFd+/ejUcffRSXX345fvvb3+LVV1/FH//4R2zfvh1Lliwx+hiJDEQm62Z0sEgkkpWbwufzIRwOc+foMIsrT2/FMtdF8CedWHNqL/PgQUWHCKI6oHHNOkQFrHIMV66mPJlWYXV+zlIIxCLXp9zSDFhFNebnNON3S2McUcvwPq+pzkunkkAMTuY6DKrrshUhjMn18ElxROFmdl1+6ZxuLHWeBblhIWyzozj/bPZnS73FdzPbZYYs+3w+5pyTuWNmW1sbjhw5wvX8zypOzszMlFXuyGKIjB/RaLSq3PWlgmuWEwwGsXr1agBzodF2ux19fX3o7+/ntskSbIhMqMywWEciEXi9J2/0dXV1CIVCTG1TqZQhE2+Px6M7fG1qagpnn34qTmm2cyV3diKVHuzIuUkQlQeNa9YhGq4sksOxVO4tq5x5leZCKIRVTt5S5m0ViYipJtFaBKt+88UetkVc2mZcWxrjiGqAx3WZr0gsy2ccmghBURSc4TgBJ+buHSzOS9V1WWdLYURuRJstott1uWblMly4vA0tdfyLrz6fj/k5/Pjx41i06GQ+zs7OToyNjXHtl3UMFnn2D4VC8woAlTO8KfOAynRsWgFXTzrllFMwMjJnq168eDGOHTsGAPjiF7+Ixx57zLijKxMGBwexevXqik+s7Xa7S17dPHfSXldXh3C4uO0emLtB8VQiy6W5uRnT09O62iQSCd03jJNhBsBqxwkA7GEGBEGUF7U2rlULVru38iEiTpKANUe5hitbJWBVU5oBEawqPFRsv6KidamvLY1xhJGIpOEyMyQcOPm8tsI+AQfmfv+sz2vL2n1YZJ/FO8lFWGCbq3HBWofh2rMW4n98ZT1+efuF+JcvrdUV0ReJRNKp3fSEdcdisawolIULFzJX684Vz8wozijqurSq6BoP0Wg0y/ylh2patC4lXGfoS1/6Ep599lkAwGc+8xn89Kc/BQDs27cPkUj1udX6+vqwb98+7N271+pDEcIMYTMXPVXCgsGgISsvelanRFDDDOyQ4cTcKr7eokOUn5MgyoNaG9eqZcGulM68QuG7xSIgREOOSdgUQ7Q4TTEBq9D1KSZ4U5oBMUQeZEt5vyj333wtjHHVMq6ZhdkCo0hb1XXZIc3ChaQu1+Wydh+abVFMyXVYZJsTCFmf1xY2evD1C3sgSw5IAOwSmJ2XQ0NDOPv0U3Hh8jas6FmEiYmJom2A+WOIHnFSza+pYka0Zj7XJcu9utLCyUXSuuRGtRLGwzWK/uM//mP633/3d3+H8847Dx0dHQgEArjtttsMOzjCWNxuN7N70goikUiWBR5gz0eRudpt1uqNGmbwr79+DWOyDx5JxvYtZ1F+ToKoQGptXKuW6rEi4crF8nMWclGpAkm+16kAkLWI5m0t1LaQgFUsP2cymeQOJyPHhjildPIWEzYLzWfNEK0rbYxLJBJ48MEH4XK5IMsyent78YUvfKFgGyvHNb1Vs61uK5pzMjesm6Xat9q2BSHEJTtmFQ9z20MTIbiVOCABi2yzGJJb0q7LYm0XNXlx14UdGHglCDeScEsy/gvj89rRo0dxw2XrceVGCQeOTaEBYaxbzfasljkWtLW14cMPP8wqsJOPEydOYMGCBem/9TzXWrEwOjExoVmFXFGUos/xhca1UuU0FiEcDnOLk5FIBAsXLjT4iIhMhHt+b28v3nvvPfzud79Da2srrrzySiOOq2Ioxx9dPtxut+4QbTPJPZeq85IlPD0QCBhWoEjPNd26oRfLXLOIuVtRLweZB7vMiYFPiiGkuJkHd4IgSkutj2uVhGh+zkJOpUIPCCzuLd68dSRgiSOanzMej+d93SrBmxBHJM2AiJNXzc9ZSPA2czGjEsa4J554Arfccks6kuvpp5/GyMgIurq6mD/juD+i+9mARygUMSpY0fbkM4gCGxTIik2XwCgrwALbLGxQMCo3MguMhyZCqEMMdklBKyIIKy6kFBtT26VtdVhoD+JQqhWNUhQtUhgB+Jhcl0ePHsX1nz4bV17ixKHxEKTACC5cz3aOw+Ewenp6UAdgUdNifPDBB0ztJicnNYu9sDxjzs7OzhPAbDYbd7oLl8uFeDxesFBivudor9eLcDicDovPd7ydnZ3ztqsFhHmiMb1eb1Y4vh5cLlfBnJSF7vPFzjPv9wFobmcGhpzdtrY23HTTTWU5MJYSM3JPGInT6Sw4WS+GGVXVM9GTU0RE2Mz8Xs3NzfD7/brat/rc2HjaItQ7i79XRZ0YOJDCqfa50AS9+TkpjJ0gSketjmu1hIgDi8XVV+gBxOzxtNYoJniLCFiF+oWoq48oLcUE71L95suxX5T7GJdIJLIEhE2bNuH555/X9Rmf/x9/KnmYtEhhmsy2Nshcbb2IYbHND1lRdBXEgSLjFPsUlthn4EFCZ87JACKKEyHFhU5bkDmse3GDA222CMbkegzLzeixzzC3DU+M4PYrL4BdkhBQPGiyxfFfr1ldVBCVZRnBYBCNjY1Y1OTFp1a0Y2FLA1OR2RMnTswT7JqamjAzM1O07eTk5Dx35sKFC3HixImibbXIzIubj3wp3bq6utL5dfMxPj6u6bpcsGAB0zFrjaft7e3M4fe5tLa2cpuxGhsbEQgE8r5eSJxUxdh8hEKhvGJrKQtSEmyQbCxApXVgEWep0+k0/bvqyZWZTCbhdOpQFjPIrKrW0tKCqakprs/Rg5qfs9UWhl+ZG5T15OcUyW9DEARRKxTKhySSM09UFC11ziuiMCIClqiTlwRv6yg2Dxa9trz3C3LyZBOPx+dFa9lsNt3ir16h8Lu738RCya8rh+OcUUFBpy2IXts02qQQs0iohlcvsU1jsS2AbtsMZEVmavvxeBALJT/qpATGZR9OsU/BpiSY2i7wAkvtMziUasWhVCvabSE02uJMzyCx6RO447NnIgQvAooHCmz4p88uYhIYAyeO4I7NF8MuSVAgYUJuwD98uq1o25mZGXg8HtzwqVPx0ncuxS9vvwCPbvsi1rcUN+t8/PHHOOWUU7K2LV26FIcPHy7admZmBi0tLVnbWMTJfAtnxQQ3AJiampq3TwDweDxF62QcP35cM9TZ6XQWTLujHrPWPUjk+V91ivLg8XgKRtTE4/G8z/3FjFGzs7NoaGjQfM3n8yEYDOZtW2iM0FMwORczcqGaiVURzbRsLIBoRdVilFOIu2oJ5xUPeRD9/qw/qqmpqXQuE7MeONX8nP/vb16GX/agXkrgH7esZwp7yQwh8SCJqOLUHcYuks+HIAiiUhB1YOUb8xwOR8GHjGJhqZRH01pERet8aQaK9alCApbqJiRHp3WUynUpaoSopLRXRjA2NqbpHss3P4/FYln3Y1U86rLNIAIJH45Mo/mTKNzjgSiGJiNY0ubFwkYPFEXB2NgY/vLRKNqlEI7LDWi3heBGCrOKu2BbWZaBmREssc/gRKoeY6hHvRTDUvs03PFpRCInhcLctolEAonxw2iwxTEkzwlZdqTmHJQ5bXMJhUKInfgYU4oPUWWuz32cakWv3T+vba4zcWJiArHZWdy66VP43tP7oSjAiNKM73yqGanZSURc88OnVY4cOYK6ujp86YIV2Li6G8NTEfS2epEMTODYsWNobW3N2/aDDz7AKaecghVOJ85f0phum5qdxOjoaN4CMoqi4NChQzjttNMQiUTQ7ALO7pr7fsembRgbG8srUsXjccTjcaRSqXkimSRJmJqaSudLzD1PMzMz6WffXFKpFAKBQN75wfDwMBYsWKDZNh6PIxwO5/09j4yMYPny5ZptY7FYQbEvGo3mnZfE4/GiQmG+13Nfyz1XhY6r0OcmEgnIspz39UKfOzExUVD8jEajeV+bnp5GU1OT5uuSJBUsaFTo+0iShOnp6XS/yD1Pxa6B2ue04D3Hom319ItMkskkkskk07VlcU+zYujsaXh4GE1NTRVdiECLwcFBDA4OzlupLXUoeilW7nknRmqODaPyWJYaPXk94vE4dzL/zCTC6ooYq/ir5udM1nXCER7HeWex5XtRw9ibpCg6bUEcSHUw57cBqGgRQeih1sa1aqOQUMHi3so3yXQ4HAVX5gsJEapAwjvuEHOIzJGKCc+8rstignch1DklCZtiiFStFRG8RdyehSi14F2OY1y+31i+3/zAwAC2b98+b/uI3IwWSYJt9jg++mgSfxlT8P3fH4GsAB4piXsuaManTmnFggULcM6a03Di+SnIAMbkOaGsyRaFFBjF0FAA/zFuxz//7sO5NFKSjL+7oBmfOqUZq5f34hubfPje0/sBBQjDjds2nYUFjR4cOHAAra2t+MNQDN97ev8n824Ff39hMy5e3oJz15yOu1Mt6dcUyY7bNl2IjgY3PvjgAyxbtgwulytLFI3PjAEALly/Fv+A9ozPlXD7pgvQ4rXj0KFDWLp0KSRJwolADMPTUZy6CEj4x+FwOLBs2TIsWwZcvKI1LTAubPRgZGRkXuEaFVXUVPNGLmz0YGHjJws8jd04fPgwnE6npsg4NDSErq6u9PNRdtu5vJX19fWafVzLcamyePFc21WrVmm+PjQ0hOXLl2u+1tPTg48++ginnnqq5uvj4+N5X+vt7cXQ0FDe4yr0XKmGhWdWLmeloaGBO/VaodyRIvdMkWI609PT3BXRg8Egenv5n10L5djkNTh5vd6CUZ+F5iwejwfRaJTrXIrkXxWh0PexKu2OoXtUb6IXXXQRfvSjH+GMM84w8uMtI1+VPRbHJq+QKLI6Wyh3FMt+tfB4PJicnOT6TCtobm7G5OQkd4JfVsbHx9OV3NU8JN3d3cztW31urFjRgQMHZpjbqGHsDVIMEWVuksAaxi5SzTDzM8jtSdQKpRzXWKu+vvfee/jDH/4Ar9eLYDCI6667LmtSvHPnznRuYLvdzlThtpKqoosIWCKTq1I5sEQXRWvNvZUPUQGLV/AuJn6xptDJRe1TJHiLIeKGLuTSVh8eefbrcDi4XSmlFrzL8dlN7z2yv78f27ZtS/8dCATQ09MDuyTh3ms3YOOGXozMhPH//vIZdElxSBIQgx3/7c8OvPSZ89D5yVx2YMsa3Lv7XaQUJd32kg29GB7348ePPo3FEgAJkCHhX/8s4U+fORfNTV7cdFEzPntmFw5PhLG0vS49N168eDH2fXwED/3uVdShDi4phXophv/xqoyrP30OfD4vbrpoed62H330EV76eBrff3EcDiWJxfYAvnHFBnx142kAkLdtOBzGxx9/jHdmvfiH3+6HrChYYp/BNz6/Djd9emX6PC3zerFswcmw5+XLl+P48eOYmJhAT09Per7viU2ht7O1YEXv008/Hfv370dDQ0OWOHP8+HE0NzdrFpdRWbt2Ld5///15fW9qagqtra0F5yjLly9PH28mgUAAra2tBZ8Dm5ubIcty1nu8Xi9CoRBaWloKikx2ux0ej2feeFGsrdfrxcTEhObrs7OzaG1tzdu2t7cXH330kabwPD09jQULFuRtu2TJEkxNTWk+ox4/fhzd3d152zY2NkKSpHmRCl6vFydOnEBPT0/e+6bL5cr7uYlEAr29vXnHXLfbnbet0+kseG0L7bfQa8X2W6ytw+GY97r6d6HPVRSloGOzUNuGhgbYbDautoW+j6IoBV8v9LmpVAo+n4+pLW+hTS0MHSUPHTqE2dlZPPfcc3j33XfLYnAsJXa7vWDuiGICY6GHEz3Ov1wKrRQVe0DM15Ylx0YqldJ8yHA4HELfhwd15aPUJBKJdJU5r9era5+BQCBv+EQhToaxv4Sg7ESDFMd3t5zDJDKqbs8GKQqPlMS4XE9uT4IoQCnHNZaqr4qi4JVXXsFdd92V3vbAAw/gm9/8JgDgz3/+M0477TScddZZAIBjx47hmWeeKduCEDyICFgigoCIe6sQIm2LVVeuJUSvLe+cpFTOPNH0RiR4zyHSLwq5tIud20JpBoy4X5RK8C7HZ7fOzk689tprzO93u92a5+ff79mIlT1zItDhyTAm5ToA2SaAzPnv1g29uGRlxzyh8GgggSOpZgDqM5Q0r+2iJq/mPHpG8WIo1YIWKYw47Bj+JOy8WFtJklDf2Y1/+el76JFmkZDsOJRqwT/97mNctnZJwbZ1dXVo7T4FP/qXX6MZLjTbIziSasI/PzuEz559SsH5/sKFCzExMYGf7vkz/q8/TaJdmkUCDnzn2vOwNb+uCQBYtWoV3nvvPTQt6sWRmTg6PTJssXBeZ6OKzWZDT08PhoaG4GruxKGJEJa0euE/fhyrV68u2LahoQGjo6PznjOPHTuG008/vWDbnp4efPDBBzjttNOyth89ehQrV67M02qOxYsXY3R0NGu+pu43n9NTJZ/D7vjx41ixYkXedoXuQRMTEwXb1tXV5S0+pFWFPZMFCxZgdHQUS5YsmfdasbFUfR7PJ17RmDWH2+3m1i3cbjfi8ThXBXkg/9zBqjmWCNzCpt/vx4cffqgZO3/PPfcIHVSlIJpvp1CHERECY7FYWmzTSzQa5Z48RSIRzR+VGhZeaMXNaOFT5Eapht2z3CBEnETj4+NYtmwZgJNJklkt6F86pxunuM9Goq4T9uBxnH82m7iouj2bpJM3T3J7EsQcZo9rWlVfH3/8cdx0003pbS+//DIuu+yyrHYrVqzA0aNH0d3djf379+OWW25Jv7Z48WI899xzhh+rlYhOrnjHw0KhPcXClQtht9uFwpUpP+ccIuehkIBVjEIColVOXsrPeRJRl3Ypflui9wuj8vlXyrOby+WaV2RFluWiBVByWZgxz1Tnv3LGtF1r/qslFJ5sKxVsq4Xadlo5+V7WtocmQggrTgwpJ3NXspoRDk+GMZxqRpMUwaFUKxRIAGPbhNOH//GnEZxim8W47INf8TLN9yVJwrvhevz4//kNhlLN6LH78Z+u+TSK6JoA5lyB/+vPH+D/efH/YFZ2Y4l9Bv/pixeisKw5x4oVK/Dhhx+mBUqtaub5jlctFqP+7tWiNMWeIxsaGuZVGlefCYu17enpwZEjR7B06dJ57Yu1Ve8HWvc43mffYu1EigB1dHRgfHx8nqOWhULftdoQqfHhdrvzpkYqplOoc0otDUZEm8k0fpkJV0959NFH8c1vflNTWZYkqepzdqmIVEhUHZClEDbj8biQsMk72c+XZ6Ourg5+v7+gsBkMBudVQGRFRIzV+sG3tbVhfHyca+VDj9CZ6UJatGgRhoeHi65qqoyMjOCMFUtRV1eHAwemmfepuj0Hf/MS4ooEtyTjv2w5S5fbs10KIgE7/IrXVLcniaJEKTF7XGOt+jo0NISLL744a9vatWvx1ltvobu7W3OcqLZQVlGhohQClsjiWbH8nMXaVlO4cjmmGRBBRMAq53BlsylVnsxSti2EVQ7vTCrt2c3pdGZVL3766adx6aWXcn+eOv/NDDW/b8uZTPNJq9qyirGF2vqVk/vRI6jOKm7Mpk6OMyzz/VF/BPf++j1AacEy+xQ+TrUxGyBG/RF8/w9j6JFCcEgpBGQXvvvkfnzm9OIV1202G1paWvD+oaOYSrkh+Y/jU+ecVfR7AkB3dzc++OCDtBvx8OHDBZ2PmaiiqDqXO378eDo9WSFUh10mhVyNmSxevBjHjh3Lck+yuvUlSdJ8bylqeqiIRFA2NzfD7/en87oS2rhcLszMzGi+Viz3psvlyqs5iWhRyWSS20EqAtfo/d3vfhd///d/j7//+783NC6+0hBxbKrh2fnOn4jSrfXAzEo0GkVLS0vxN2oQiUQ023q9Xhw/frxg22AwqLm6xrJaI5IjTqvAkMfjYXLTaA0O6kON3hV/vU6NTHes3lD/zy2vx5pvXILppAtOHUWL1EmSV0rCiyT8ile32xOKDMCm2+1JoihRaswe11irvmpNONvb2zE+Pp739UKrvvmqx0YiETidzqJVN3krJCqKwl2ZMRgMFqyuWKituuDGU5mxVJUmE4kEQqEQVyXQZDKJUCiUV/QpdkyFqrEWOuZiFSxZ2+aSSqW4r20oFCpYUbVY28bGxrwPdLz9HODvU8X6RbEKpLOzswWrRpdbRdVi50mrkjHLMYVCITgcDu77RSKRyDu35+3niqIgEolwX9toNJqe8/GKBJX27LZ161bcf//98HjmKogvXrx4nsNN92fmCTUv17ZGCKrq3NkMQVU1QAA2HEzNxa2zGiDUtsNKMxbbAjgqNwNgN0+8OBzD/b/5IyKKA37Fi3+WW5ieEyRJQkNDAz4emcCJCOBLJpgXVRYvXowPP/wwXbxodnaWSdgE5j+7HT16lMncoiWKjo2NMTlUOzo6MDY2lpWjk1VQ1YK1pgfvQnBTUxMOHz7MJWy6XC7EYrGqWAQuttBXyFFbzOzmdDrzhrGLCpsVUzxocnISN998c0UMjEaQr3psscpZxRybhUIqckMU9SASii5qO9Zqa7PZiq4G5TvmhoYGBIPBglXTZmdnCya0LsTU1JSmuMCClgu1s7MTY2NjRQc2ETdCLt3d3Th69Gg6rL0YExMTWP1J7pgPP5xh3s+iJi/+y6bl+J973oasKPBJSfzTlnW63J7L7dMIKG5duT1FQ+BFRFESRGsHs8c1vVVfMynmrin0Gfmqx5YakbyQosVAyi1sWzTHJm9bNa9XObn6RCp5iqYZKKfzAFBBqkxE+wXvfbxU50HkM40KRa+0Zzen04m7777b8M/NlwuzXNuKCqrn9TZgeCqClV0tJRdUjXCYyortE1FTf6osu9KIBbYgIopT13PCSyMp/PA3f0JCsWFMacB/TTQwi6LquCrLsq4xRa2srlZtF3kuDAQCmgWFcmlqaponbB4/fpypQruWUDg9PY3W1tYCrebQmpNGIpGi96J8OgvLvK6xsRGBQGDeM75IgWWrIgmKCbSqE1eLYsJmIVE0kUgUNMrlcwADFSZsXnvttXjyySfxN3/zN0YfT1nCWz220OTK6XQWXHUt1BElSSr44xItLGDV5FZrvw0NDThx4kRBYTNfwvZCPziVWCzGPcmbnJycJybW19djdHS0aFut1TV11aTYg1rue1gKO+WjsbGxaJqATDZ0SvjNt6/C4YkwpMAILlzP7vasl+KYkT3wSXFIUGCTbMwhMbICLLNPYTTVgCicpoii5BKtLcwe11iFCK37V+Y9T+/9Ol/1WK/XC6/XW7DKIcBfaTIWi6Guro6rbTAY5N6vw+FAfX29rqqb6t+lqpypKIpm5UyWz00kEgVTxhRq6/P54HK58k6Q9Va/zPybt3KmoigFK2cWu7a8bV0uV8EwKaMrqrL0KZfLhenpaa79+nw+KIrCdQ3q6urgcrnyPoSYWVFV/TuZTDJXVM1F/c3nm9vx9tVSti30ms1mQygUEq4gWwvPbvmMKJWOiKC6sNGDhY0e3SlZeARVq0L21ecEGY60KKr3OaEFLjTaYkjKNl2i6JIlS/D6vg8xOhPB+jMKFxzKJHMOmEgkdIlAzc3NmJ6e5o6wzITV0LRgwQKcOHECvb0nn4NmZmaYU6jlMjk5yR1izvLc2tDQgKGhoXnCZigUKhrVmq+4U76UeyzoqaORi4jztFBBaWBOQwgGg5qvFesbhfJz5isoXWq4hM377rsPp59+On72s59pKvUvvPCC8IFpkUgk8OCDD8LlckGWZfT29uILX/jCvPe99957+MMf/gCv14tgMIjrrrsuazVi586d8Pv9AOZWQm+77baSHW++qteqBT0fhVYj1HwI1WCvLoaW5Z6V+vp6zM7OorGx0eCjmqOQoFoMrQp0XV1deavOZXLs2DHNJMwsToPp6ekskXjBggU4cOAAk7CprnJ1Ndehq7kOH38cYM7nuqjJi7+9qB0DL8/CLyfRbZ/FXddcxBwS02qLYEr2YpF9FodSLbDrEkUVnGKfwnCqGUnYmfMEWeUSVffPK4pa1bbSMXtcY636qvWbHh8fT7vU9Qqb+arHZlIK15Jo3jujqz1aiWh+znKrrlxteTKtQn2Y4kE0P2cpzmW15cm0CqNybFr17GYmvEYUQhseQdWKkH0Rp6gqik7Ch8nU3Pv11A/49VvH8cPfvI6UAoz8blTXfN/tduPwiWm8c+Awzj59OVMbYC4d0UcffYSWlhbdApKiKFnzItb5iFaaNtb5leoKzHxeFKnpEQgEsgRWLfIV45mdnS1olgLm9AM1XU0mWunrWGFxqOYjGo1y7zcejxfUQVRNSYtignuxVHhWzL25Rv6vf/3raG9vx+c//3nuE83DE088gVtuuSW9z6effhojIyPo6upKv0dRFLzyyiu466670tseeOABfPOb3wQA/PnPf8Zpp52Gs86aSyp87NgxPPPMM7jyyisNP16W4kGFyNchVGdfLQibIrS0tOD48eNcwqYVldhYq85pHdeCBQuYklaPj4/j1FNPTf+t9jGWwWl4eDhLdF26dCk++ugjrFxZfIXS7/dj0/rluHJjCw5PhGEPnsDZpy8s2g4AFjS4ceeFnRh4JYhIyolu+yzu1iGKdtsDOJZqQq99BodSrUxOUXWi40YCvfYZHE01I6I4dbtE7ZCRUvSt/oqIola1BSpfjDV7XGOt+trb24sDBw5k/W7feuutdE4nrXzAvAIHULi6soiAJVrZvNzCya1CtDiNiECSb5ywKs1AOYaTi2CV4C3Spwoh+psXSTNQTfeLYmmvWLHq2Y2oPcwO2TeuQNPcPVhvCHwdvLBB0W2CePWEgsEn90BRFIw8M8I8784cK0ZHR7N0kGK0tLTA7/ejubk5LXKWmvb2dkxMTOg6zkKI3OPD4XDRZ2Wfzwe/3z9PPwiFQkyh91pEIpGigmo+YrEYt7s1Ho8XdF0WSnVSbG4nEjFaKrhmHK+88gr+8Ic/4LzzzjP6eAqSm3dy06ZNePzxx3HTTTelt7388su47LLLstqtWLECR48eRXd3N/bv349bbrkl/drixYvx3HPPleR4WYoH5aPQBJdVAMv3ueXoYCkFIuepra0Nk5OTTDlLcimWKqAUNDY2Mlfjy732CxcuZGqba4VXvx/Ldx0dHcVpp50GYG4CIsst+PDDD9PbCnHw4EF87fILcOUlKRyeCMMbn8bSRWxitS0awO2XrcZ/+f0IhlItWGafwTevuYQpT5BbSmKRNIsDqXZ02/zwK3W6XKLdNj9sUBCDAyfkBl2iqBcxtNgiOCY36aooOSdMKp9MsNgFVSsdqlaKsZlYMa6xVH29+OKLcf/992cJm++//z4+97nPAQBWr16N119/HevXrwcwt1jHO/ECCru3RAUscmCJY1V+zkJVt0WuTyqV4hawSPA+iVVVt0uVY6vaXNoiGPVdrHp2IwgzEC3QxFNkSTVBBKGvejxwsoJ8tyRD5iiqqt639YY4t7e34+DBg+lwdj3zRd57UV1dHUZGRrjaAsbf04t9Vl1dnWbRY5bFunxh7KI1THjH0mLzdtEF1UJalhVwnaWVK1fmDbEuFVqVvm0227wLPTQ0hIsvvjhr29q1a/HWW2+hu7tbs1OVyvlY6IdYrCMVWkFxuVx58yEUQxX7yO1Z+Bw3NDTMS7CcSSHrvyqK5itKVKgCXb4bosrs7Gze3CDF+tTMzIxmaA6LKJobwq6ydOlSHD58uGCOFa1VL5vNhvr6egQCgYKO2tnZWbjdbrhcLixy4ZPBvg3vvfcempqaCn7nSCSCQCCAm//qbHz+3FU4PBHGgjoFcmgmbxuVNq8d37qgCT/489z9ZVRpwT9sbIFHjgIoPIFY0urFKfZpHEs1IgYHfFIcy+zT6G0tHoLw8XgQCyU/4oodo3IjemwzmFXczBUlmxBGgy0GGRIkACNyI3Nbp5JApy0EAPArHgQUT1bbfM7IUX8E9+5+Gx1SELIkYUL2zZucFWrbv/sduJQEErBruluLtS0kxp6YZXcuWjGu5av6qoaon3/++QCAjRs3YseOHfB6vfD7/bjuuuvSn3H++efjV7/6Ff7yl78AmBME7rjjDu5jKpT7U1So4B13qs2BJYJV4cqFohhEC73wCliAdTnByw1R0Tpf22JunkIOb1HBm37zxmLFGEcQZiJSoImnyJIRIfB+eBBW5rQJPSHwixcvxlv7D+LYVBD1nRHmY84sNDM1NZUuXsRCppClp1CxyDjt8/mY8mIaSaFiPMXwer2IRCKaxytyHspxruN0OhEOh7nbl2IRkmvG8dWvfhV33303vvvd72qKO5dcconwgeUyNjamKRTlhmdodcT29naMj4/nfT1fiEcsFssK81PDBiORSFogjcfjiEQimu0LvSbSNpVKYXZ2Nm/+mFgsVnC/fr8/7+SmUNt4PI5wOAxJkjQfjgq1LXZMhb5vobaKonC3DYfDsNlsXG3HxsZQX1+v+brL5cKxY8fSN7XcczU0NISuri7Nti0tLTh8+HBeu/7w8DCWLVum2dZut2NiYiJviNGRI0ewfPlyzbaJRALBYDDvg8TRo0exYsUKzbbBYDDdL7QYGhrCqaeeOq9tW1sbPvzww3Qou1afOnjwIFatWjWvbXd3N959912sWLFCc5+KouD999/H6aefPmf/dwFnd81NNKbkGA4ePJj3HCeTSXzwwQf46ufOw2cviGF4KoLeVi8WNnowNDSEUCiUNyQgFovh+McHccsV5+Off3cAUIAIXLj1ijMwdvhDuJLdeQfnUCiE+ImPMaX4EFXmbs3DcguabVHEThzETJs9LQwNjfkxPB3FqYuasLDRg0AggMT4EciSDcPyXDJxCTIW22eRnBzCbOfJwhDHA1EMTUawpG3uO01PTyM5MYpmWwxH5CYAEpqkCJbYZ6DMHEMw6Mav3zqB7z29P+2M3H7VabhufRfGx8ex98NjWCgFMCb7YAPQZQtAgoK9b+/HX61fid1vHp/X9v+zbhFOnDiB1z8+gS5pBhE44ZJSsGPuXvx/3juAy85egf/1xui8tteetQBjY2N449A4Fkl+NXIozZv7D6FpzVL8rzdG8Y//63XNc62FFeNavqqvqqCpcsYZZ+CMM87I+zlf/vKXDTumQiJHMaGimHtLJPyxHCd1VlCqcOVik3iRflEIcuMag0i4ssPhyPtwUsztUcjhLeKopX5hPFaMcQRRKfAUWTIiBN6vnHwvqygKzOX2vP83/4GI4sDYnuNcEUt6hSW1gJBq4OENLdcjGra0tGB8fNxUYVOEuro6hMPhijleEUQcm4UWRYWOiafRt7/9bQDaiaYlSSpJrp58EySWH0exY8r3GQMDA9i+fXvBzxbJTcHb1ul0cnckt9uNWCzGtWqrFvLJ57rhfeASOYehUKig26PQMU1PT3PnrAgGg3kdmcXOQyqVymtH93q9Re36+T5/4cKFOHToUF73pCRJedt2d3fj6NGjmoWLiiWmLhTKruXWzKStrQ3j4+Oa5/LYsWN5B02Xy4WGhoa8VfU++ugjrFixQvP7tra2YmRkRLOtLMv44IMPcPrpp0OSpPRER2XJkiU4cuQIZFlGR0dHlkhYhziOHz+O008/HaslCRtXdmSJosCcyDs7O4tFixZltU0GJpBKpXDB+rX4B7RniXn/+cqzcd7Zi3D48GHY7Xa8Nm7HPz/zAWQFcEkpbDuvAZ8/awnOO+sMfCvVkm4rSTZ8c9P5WLd6AYaGhqAoCl6fduGff3cAsgJ02EK47bwFuPKcU7Bh7WrclWxOt52FF9/atA5nrGjHm+8fwEO/2wePUocwXHApCfz4d3/GEsdpOLW3C+vXnIbR56egPlIfk5tgk4CVvQvxxr4P8eDv9qFdcmBK8aJDCuHB3/0Zy1yrsWppN9af2YyR30/OrXZ/chuwScCyhS14/b0P8ODv9qFLApKSDQ7IePB3f8Yp7jNw2rIerD+zBaO/n8haKbdJCha31n3S9n0skMIYytv7srFiXLOSfNVjCzm/igkVhSYq1ZYPsRIpJE6yCFi8Tt5igjc588QREbwL5dgsdn0K9SmRNAPk2DSeWhjjqrUqOlG+iIbA84iiasTSMpuCCdkHGfrC2Ovq6hAKhXSPG6obEdBf/CdzX8FgkFmH0CpaVM7U1dVhZmbG6sMwBZEcm4XSG4nA9WlGJLHWS6FJdSZaP9LM6tV6fsT9/f3Ytm1b+u9AIICenh54vd70j9ntduf9YbtcroI/epG2hV4v9Lk2mw1jY2NcbZuamqAoStbrmf8udEz19fVwOByagl40GkVjY2PBY/J4PJrXbmpqCgsWLOA+jy0tLXlfK3Z9CgmqWvtV/+btF4qicPcLv9+P9vb2vG29Xi9OnDih+frBgwexcuXKgmLs9PS0ZtuhoaGCeTS7u7uxb9++rCrvXq8XiUQCsiyjs7Mzb9ulS5fi/fffx6JFi7IegI4dO4bFixcXrIi5fPlyHDx4cM79nLLj0EQIS9vqMDF8EGeffXbBG+3KlStx9OhRPPHyfmx/fgSyArTawrhrYw++/oUL0u9b5vVi2YLs/nXaaadhYmICjz//f3DfyzOwKTJ67H7cdsW5uHHj6QCAmy5ajs+e2TVvkrR69Wp8PDqJnz3yO9TBhyZbFAqAf/kPOzZftgherzdv2zPOOANHp4L48S9/i25JhiJJmJTr8C+vhbD50vaCbW2tPRhKHUOrFEGbFEZEcWA41QRn+1IsWjQnDGtNzk5bsgivJJ04khqBC0m02cIYk+uRgg321l50dLShI0/bM07pwSuKF0dSIwAUOCAjiblrbGvpQVtbG9o0267B2lN78crBehxJjUCW2fPZWDGuWUm+6rEOh6NgtECxComF3FskbFpLMdGa5drma1uo2qe6X60xhAQs6xFx4xbrU8UWnvMJ3tWWJ7McqIUxjqqiE1YgEgLPI4qqYewHUyfNGXrC2BcuXIi9b+/DRDgFXwd7GLsImelspqamuN2eempYuFyuefUhSo2I+axYOrpyw4gUOEZfG91PGbIs4zvf+Q6++93vclWb5qWzszOdd6wQWhOh8fFxtLe35309H263u+pyUYoU1PF6vfOq+KrIslzw3KqrQ1p5GoPBYEHLtuoy1XpwikQiBR+oRG8S+SbXxfpRvgk7q8NY68Y9MTGR1yWqki8P2okTJ7KKj2jh8Xg0k1DneyDNpLW1dZ4DMl9Oz1yWLFmC4eHhLBHzo48+Sld9LsTKlSvx4YcforlrKQ5NhNDpkWGPx7F48eKibZcvX44f//aP+G+vBpBQJJxin8btV30KaxnEF3tDG3a88ApaocBuU5BUbPivf5rCFz5VfIKQcPrw316ewhKbHwnFhkOpFnzvd4fwV2uXptvmmyQdDys4lGpFmxTCcbkeqU/EvszJTL62w9NRHEnlXI+ciZBW27lwGQlTSh2mlLmH1NxwmXyTMzXUJq7MFVDiaSsrUlrU1N02/2XIwqpxrRwp5sxjEbC0KOb8JkpPoXBlFgEr39yh2Bir9ql84wgJWKVFJM0Ay2IGr5O3kOBNGAuNcQRRnvCIoiK5PQFg1+vH8Kvfvop9iQVIPH1MqPAmK5lFeUUK6QQCAWa3Z2NjIwKBQNFn53JBdaeK5B03E9FIkVJUVNf9lGGz2fCLX/wCx44dM/xgCuFyueaJarIsz1PFe3t7ceDAgaxtb731Vlok0bIz8ybTr0REEuKqwpcWhQriACeT/2oRDAYL5l5raGjA7Oxs3tcL/bDUmxoPTU1N8Pv9XG1bWlowPT09bztLBbrOzk6MjY3N2z4zM6MpDGeyePHivL/NYjcgNRw9k4mJifSiQCE6OjowMTGRtY21SrvP50M0GsXIdAivHZrG+4eOorW1lUkEsdvt2Hs8iav+76fx1R+/ir/+4b/jPybYROxRfwQ/eHUWPbZpLLVN40iqEd/97QcY9efPBatyaCKECdmHJOwIKS5MKr70ailL27hix6FUK47KzQAk5rbqZGZS8aVFTdbJjNo2E5a2ariM/ZP+ky9cZlGTFxcub8vabnXb3O+bD6vGtXJExL1VLLKi0D1IZGwi5ih2/gqdf5GQYxG3J1F6ignPIoJ3sX7B26cIY6ExjiCqB9b5sRZqGPt4yocYHOnCmyzPPsDJ+7ZeUavYszwrfr+f2Y2du89yX2D3eDw1o0mVavznigu75pprcOedd+Kf/umfNCctpUpA7XQ6MTs7m1bqn376aVx66aVZ77n44otx//33Z7nT3n//fXzuc58DMBfO+frrr2P9+vUA5sJWiwlNxBx2uz3v5DcSiRRcYfB6vRgdHdV8rdiKfUNDA4aHh7lWXJqbm3H06NGCIef5aG1txdDQ0DwxMRqNFnXytra24uDBg/P61uTkZN6CNyqNjY04ceIEFi5cqPuY1TyombCubtlstnkPxpOTk0zOSeCkK9fn8+Wtop6P16ed+OEj/44jqSYstc/gjmsuwVbtgvRZjPoj+Of/PYwuKY5l9ggOp1qY88wcmgghpUgYTjXDBgUJOOY5GPOhioQzHEm/RVZa1cmMWg1cz2RGJJ8Pb7iM1W1Pb1Fw1v9ge79V41q5IZJjU2SiUqpE4rWESHSCGc48HgqFKxNsiPyuioWKFXN78uZtJYyHxjiCqB5Ew9iPKs3pbXrC2Ds7O/GXd95HUPGgxc9XjV2ERCLBnLs5V7coFiFqNR6Pp2byczocjpKIuFwznR/+8IcAgL/6q7+a91opE1Bv3boV999/PzweDxKJBBYvXoylS5emQ9TVSrIbN27Ejh074PV64ff7cd1116U/4/zzz8evfvUr/OUvfwEwN2m74447SnK8lYZIDrRwOFxQeBS5oRVKbF+MfJNulmPJJ+TmK3aTSaHvy/OApmeVSVGUrAfB48ePFw1DV2lpacHU1BRaW1t1hwp0d3fjz2+8A6WpC9LMCC48Zy1Tu1F/BP/w5PtYINmw1DaNY6kmXeLk3ADdBDdSkGHTLU4mlZMTfL0CI49IKNIWmJvMnNfbgOGpCFZ2tZgmFPLmELKy7YKG/C7yXKwa18qNQu4tFvErX3XlYhTKz0mwIVqdvFDURTEBq9D4JCJ4q20pXJkf0X5RKKKmmGhdaL4j0i/ypewh8kNjHEFUF1aEsT+9bxL/65m/YG9iMaTfDpkSxq5W3xadB8zOzjIXDc5N7WbGeFNLjs1ShaJXTPEgYM6xeffdd8/brgqaKmeccQbOOOOMvJ/z5S9/2fBjqwaKhZMXwuzkvKJo5ZJkJV++T6PJFCdHRkaYEy2rYeGZ4iurmNrR0YEPP/ww7VZdtmwZ8/E+8Zcj2PGbdzErfwiHpODbcjPTYKeKk6NKA1qlCBKw6xYnZUVC7JPbmRniJGCdExFAulo7Tx8WEQqrmVoorJBJvuqxhe4VxQQsIxKJE/yIOvMKtS0keAPFBSze3N6Uh3EOEaeLSOV5ESdvMUTvF+UeVlhu1MIYR1XRCaIwRlRjP9NuhwIbFEVfNXaATyBsaWnBzMyMcK5MPTpHfX09QqFQOuw9HA6XPPdlsXlWIcptsa+Y7lCqOT/3t3/00UdxxRVXYPXq1Thy5AhisRj+7u/+jjsnYTkzODiI1atXY8OGDVYfSklhCbEuRCWFiqmuxFKT+TCixzXR1taGqamp9N/RaJRZxFIHAIDfdj8yE8Z7x6YxFmR7GFUHu2OpBvTY/ZiU65hztpzM/SjlLU6TD5E8M8CcwPjSdy7FL2+/AC9951Ldq45a+R3NaEuUhloa1/r6+rBv3z7s3btXV7tiApbR7nrWY6qW/JyiApaIsFmqSpyijk0SKUorWou0FXkQM8LJS+ij2sc43nGNIGoJ3mcf1YiyL3kyVxhrjQBgbryYnp5mzpGp0tDQwF0vIxdWraK+vh7BYDD9dygU4hY2zUinI1IcuhSwFC0sxdyOS9i877778E//9E/4/Oc/j8OHDyORSMDhcODw4cP4m7/5G6OP0XIqaaAU+fGIODatQCSfmIhjk5WmpqasG/Hx48eZ82aqIeGijIyMMBXwyWTvmIJb//UJ3PvsEVz0gxewc+9w0TbqYKfAhneTc9+RdbDLLfRSSeIkUT3U2rhWCozIsWn2fssNUQGrVM48Eaxy8qoOhmrAqmtbSlekVW7PWoXGOIIgVHiefdIpvKA/hRcAJJ11+P1/vIOopM9EpVUDotTkFkwWcWyaEdWqVWOjnLHZbOUjbD700EN47LHHsG3btvREy2634/vf/z6efPJJQw+Q0Ec8HucO2aq0cHLWojhasIq/uTc2PTfW9vb2rErhesTUzOOLxWLMiZJVPB4PDp2YwvujARwPsOfrGPVH8I/PfIS4YkdIcTNXy+OtuK2ydUMvnv/bT+HnN68jcZKwBBrXxLHKvVVNIkcp3XWFKLWAZYWwWU1uT6scm0DponGs6hci96lSYNYDO41xBEGIIGJE2bl3GJt+9H+w65X92Pgvf2QyzeRiZiHB3P2IjMEiZirW8cHtdiMWi3HtwwpKNq/gaTQ1NaWZfHV6erpqwsGMwIrQ7Hg8zi1OKopSNrkZWAgEAkx5J7WKUrD20/b2doyPj6OnpwfAXOJhVjHVqBWmY8eOobdXn9D38kgKD/32aczIbkw9e4I5ubPqvDyUOhmmz1ItTzRfJSCWN5IgRKFxzVpIwJrDStdlqeYsImOh3W7nTqZfboWHRB7KyjXNgAhWOXnV/epdMC4VpXRLZ0JjHEEQovAUMFXTlcmKhLhiT5tm9OTmBObSqxUqZqeFy+Uy3biVGy0SiUTQ3NzM9VmscxiXy5UVOl+rcKlY1113Hf7u7/4uHSorSRL279+PO++8E1/84hcNPcBKxoqJAou7r5xyYcqyzHw8ueeTtUJaU1NTOuekXjweT9YKyMTEBNrb27k+Sy+NjY3w+/26J72j/gju/c178EpxTCg+ZtclIOa8FA0JJwgroXHNWqxyb5UiXNlKAavaqspblbe1FIikz6nGfiEieFfTQohZwjONcQRBGMHCRg/OW8omagInTTMA8GFy7hlaT25OlZmZGd0CYWNjI2ZnZ3W1EcXr9WYtyJpRnLnSHJulgkvY/J//83/C4XBgwYIFCIfDOOecc3DGGWdg8eLF2LFjh9HHWJPwPhTF4/GiwmY5rcxGIhGmnBU+nw+hUIhrH7m5LgH+8yvLsq4JqHquQ6GQ7lWmzs5O7D90FPtG/UyipIo6gLyTXAhg7nvqzXfJW4yHQsKJSqXWxrVyK4onkmPTiOrKRmKV67JcnXkiWJW3tRSCt1Wuy3KqlGoUVrk9S4FZjs1aGOPKbVwjCCLbNBPBnEahJ12ZCo9AaGThIVa8Xi/C4ZPP3CJjMGthZ60UK6VMMVSucI2kdXV1+PWvf42DBw/izTffBACcfvrpWL16tZHHVjYMDg5icHDQtBVekcm0SCh6qVErdmUKr6xVuxsbGxEIBLgqfOf+2CORiGlFklRBdnx8HCtXrtTV9om/HMFPn9yL8ZQPM3vYw8nVAURWToq3evNdXrKyA4cnwljaXkciJVET1Nq41tfXh76+PgQCAd0VKkuBaH5O3pXqUoQri4qTvAnqScDKxggXsJHhyqI5UMsxzYBVWJ2fM/d3JmIYMMtRWwtjXLmNawRBGJOuLCa5sO/gYdR3dutqZ7fbIcuyqQu/dXV1OHHihG5DkxaxWAytra3F34j543wikWCaw6iFfKphYZx5JLXb7RgdHUVnZ2d62/Lly7F8+fKSHFg5YfZAKfKQVeofrsjDZ11dHUKhUNaPLBQKoaOjg6nt6Ogo135zmZqaYr5JiNLZ2YmPPvpIt9NTzUfSI9kxpczdwFnzkRgxgCxq8pKgSVQ9tTyuVRPlVl3ZynyI1SZgiYYri+Tn1OpTImkGrApFr0ZEf/OJRIJ7v1qCd7k6rct1jHv77bfx0ksvpcMnL7jgAqxfvz79+kMPPTSvzcaNG7Fq1SozD5MgCIMQMc3s3DuMf9z9Js60j+LvX5xlNvpkEgwGuQsO60U1chmBngLCuXMlliheYO54E4lE1jhkZqEmI2EehcspfLnaYc0dmQ+WjsjbYT0eD6LRaFZb1r7h8/kwNTWFlpaW9DZWh4mRP65IJILFixczv1998LXZbLqPw+FwYGI2ghOBOFq7I7rzkQwp+or4qJDrkiCKQ+NadVAK9xbLGJnPvVWN+RArkVL0CxERivqFcUiSZJngrSVsil7bUhVNLMcxLhKJ4C9/+QvuvPPO9Laf/vSnOPPMM9Pn1ePx4MYbb7TqEAmCKAE8ppmThYfsSIK/8NDs7GzWAk8pMVKz0GuMyoRV2HQ6nYjH41nRrJU659AVs1SJym0lwtoReScsqjLPg9frRSSSne+RNfzd4/HMa1sJtLW1YWpqCpOTk5oVJQuxc+8w+n+zD//9+YO46AcvYOfeYaZ2IkV8VCjfJUEUh8a1yqcUOTZZJnX59mtlZXPiJKXI28pyffJFtog8KFRjmgGrKEXeVtbfvNa8vdS/+XIb4/74xz/i6quvztq2fv16HDhwwKIjIgiiXMksPPRRcu4ZnKfwkB7no4rD4eDWS8oB1u+spQuJmOysXFDTNZKee+65TAP3xx9/zH1AlYiIXVerbSKRKJoDUiQvmBr6wZM7yuv1YmJiIisHWDgcZlptNnJyxXv8PDQ0NGBsbAwAdIXvqKtMy21JjCgNulaZjAgnJwiiODSuVT4i4cp2u13TvcUiVBQKS+XNdU0ClnGIOja1Hmj0CN5arr5qyGFV6eQTrVnuIYWcvKyCd24fKLUzptzGuPPOO29eOqhIJJKVQ1/v80IsFsvKs6wWC4lEIobmT65EeN3JtQadJ3bMPFeL6u2f1I0Awp8UHrJJwMJ6G7NZKh6PQ1EU3cftcDgwMTGBxsZGJBIJXeasWCyW3l88Hmdum0wmEQwG0/dsPW1z3zs7O4vGxsai7VOpFILBYJa2Mzs7C1mWi7bVOr5kMolUKlW0bSwWQyQSMbQ/6RpJ//N//s+UjDkHNSktz2Q1nziZSCSK5oFQ1XURYZMn14TaNpNwOJwVXm4GevOdZhYu0vsAnDnB0jPZUleZDqeakcBc/6BwcoIoL2hcq23yCRUsLioRtydRevKFK8uyXHQszxeuLCp4U7+wHpHfrcPh0Mydpud+oSVsllLwLrcxTivH/XvvvYdvfOMb6b9nZmbw+OOPI5lMQpZlbNmypeB3GBgYwPbt20tyvARBWMfCRg+2X3Uavvf0fsjKnKi5/arTsLCx9EWA1RR6DodDKF2IHt1B1Vl4i0hmwprX2+l0ajo2rSp2KALzXiVJwpe//GXT8hNUCuoElmdSonYkLWGzmGCpCnU8Hd/tdiMUCuluB2g/KESjUVOqjGfud3Z2FkuXLmVu29zcjOnpaSxYsIBr31OhGI4HovB1sOfJVMPJE8rJnxlPODkJmgRRGmp5XBscHMTg4CB3qG4lwCpg8TqwRELR8+XnJEoPy2RfpF+ItAUqN2l/pZBP8Bb9zRd78M0neJfyPmDlGNff34/p6emsbStWrMC3vvWtrG1vvPHGvMrsXV1d2Lx5M2w2G5LJJHbs2IG77ror77NRf38/tm3blv47EAigp6cHXq+3ZPlLKw06D2zQeWLHrHN100XL8dkzu7iNPjE4cfjEJFq7oautx+PB5OQkZFlGa2urru/rdrvT2ojb7WZu29zcDFmW0+93uVzMbXPf63a7mXQit9uNiYmJrLZ2ux0NDQ1F9611fKlUCj6fr2hb9bwYqSFR8SAGCj0AqpOc3LAzlomz0+nkfihyOp3znJOsaLkuRVAUxfSHM70TQTWcvLGxUfeNeOfeYez4zVtQFGD0d8eZq7Gp4eRzSY9B4eQEUWZYOa75/X48/PDD8Pl8iMfjWLduHS688ELN9/7qV79CIBCAw+FAOBzGrbfeCp/Pl37929/+NlauXJnV5rbbbisojvT19aGvr0+3+72SYFk1LpQzj0XA0gpXZnVvaYkcROkREbBY0gzkcwSyzFvyhSsTpafULu1CqRFKVfTTyjFuYGCg6Hv8fj/efPNN3HrrrVnbr7322vS/HQ4Hbr31VuzZs2debk4Vt9vNnf6DIIjyh9fos3PvMP6v3e+gxzaD//zcpK6K6ur9NhwOo729Xfe+efB4PJiamjJlXypa6ZxEcmxaGbXEvNebb765ZlcxCj0Aiq7q50tKW2zy4nK5EAwGixy5NlqJ7VmcLVajnmueH4v63aampjTDYPKh5slcJAFJ2HRXY9u6oRfn9TZgeCqClV0tJGoSRBlh5bi2a9cu3HXXXWkB45FHHsG6devmrVw+99xzOOecc3DqqacCmMtn89hjj+HrX/96+j1r166lCrIasOa9y+feYhGwtHIIsQhY+fIwEqWHdX4mUlSKt+CASBQQIeZ21ZNmQKstr1jOAq/gXc7Pboqi4Gc/+xnuvvvuou9tbm7G7OysCUdFEES1oD7DK4oTgMJdUZ01pNsIjDaf8aJH2Mwdd60UNpktbz/72c+4cjJWOyKTX62cBqyooei85E78YrGYKeHkmeidvDc0NAhPbFgLHamoeTKn5DpMyXN2br3V2BY2enDeUhI1CaLcsGpci0aj8Pl8Wfe/a665Bnv27Jn33uPHj6dFTWDu3p8puFHevvyUujp5vvGfBZG2QG1H0QBii7Es17ZQuDKv+MWCaL+odUQeqFjFSa3rY8b9gqdPlfOz28MPP4wbbrhh3u9pZGQEr776atY2WZZpnCMIQhfqM7wCG47IzQD4KqqLoHdM0jKfWQHrIqHWmFgRwiahjcjqbb5QdN6OJIJZeTIzCYVCWeGUxTBC2JQkSdfDkJonMwJnugCQ3jyZBEEQmQwPD2P58uVZ2xobGzWLlVx55ZXztmXe+ycmJkwLkbECEQHLDJFDRMASdW/VMqLXllfwFg05LoZInwJI8C71tS1UkKqYS5sE75P84Q9/wOrVqzVzf3Z1deGNN97I2vbss89i48aNZh0eQRBVgPoMDwCzypzGYeYzvFqJvVxd80agZdLTKoxtFrT8JUihROK8oehmTEy1CgCZtaqrrgKEQiE0NzcztzPCnq333Kp5Mu/d/S5SikJ5MgmCEGZsbAw9PT3ztmuJVbmpM0KhUFb48vj4OEZGRvDwww9DkiS0tbXhqquuu4H93gAATqNJREFUyrvvWCyWdR8NBAIAgEgkkp6IxGIxzRDreDyuuZ3lPfk+s1jbeDyOVCrF1TYUCuUNF9c6tkxhORwOIx6PFxQiFEVBOBzWPOZi+0wmk0gkEvMWFFnOUyqVQjAYnBfGznuOWY9Z6zzpbcuzX633RCIRoX5RV1fH1Tb396NFMplM94vMc8XaL4LB4LyHAta2oVBonrAn0i8qrU8Fg0HufhEOh+Fyubj7RbF2iUQCoVCI+34RDAYhSZLmAlglMT09jR/+8Ie4/PLL8c4776S3L1y4MD12XXHFFfjRj34El8sFWZbR29uLrq4uqw6ZIIgKxMpneI/Hg1gshmg0isbGxpLvzyq0FuxEKqoLH48le60iCjk2i1WiMtp1KUI0GkVHR0fJ96OG0LvdbkQiESxatEj3Z/AKv1OhGI77o6jvZK9sDszlybxkZQd3NTaCIGqTfFVhzz33XE1XEcu97Ze//CVuuumm9N/Nzc1YtWoVzj//fADA0NAQfvGLX+CGG27QbD8wMIDt27fr+RqWIhJqz1LoJR8sRfHyubdYsNvtRcWMQm3LZe5gFSI5r0qdL0vk+jgcDu40Q+pCe6Xn5xRNMyDi2CzXfiHq5C0nWlpa8G//9m8F33PKKafgjjvu0P3ZhYq9EgRRe1j1DO/1etOLdgsWLDBln+qc1MyaKVqOzVQqZXpRaRUSNgXJFx7CknS1nIr1mJWnzefzIRQKwe12c//4wuGwrhB2YK4q2n//9bvwIo4je9grm6vwVmMjCKJ2yVcV9qWXXuJ68Hr++edx3nnnZYl13d3d6O7uTv+9ZMkSvPjii3k/o7+/H9u2bUv/HQgE0NPTA6/Xmw6XcbvdmqEzLperaEhNvvfk+8xibZPJJHw+H1dbu92O+vr6om1zj83r9TJ9V622+Y4lF9V5lfs+lvNUX18Ph8PB1dblcsHj8cwbe1mOWes88bYF5gQsj8fDdW3VPLW8/aKhoaHoHE2rLWu/yH0fa5+SZRmBQIBrvz6fT/N9vL890ba8fSqRSKCuro6rT4VCIe4+pfaLYg9kvOdYURTN3y3Leaqvr0csFoPX6zU9bVQlUajYK0EQtYkVz/B1dXWYmZkRqi6uFzUS2MyilE6nUzOKwCqNi3JsMjA4OIjVq1djw4YN816z2WzcxYPyUU6Cp9H4fD6Ew2JJe/1+vy5bt1oVbUb2wK9401XRRv18bhmCIAgROjs7MT4+rqvNwYMHEQgEsHbt2qLvXbBgAaampjRfc7vdaGxszPqv1LDkn8tHqQsAWYVoHkYR51e55Oe06tqWs6vRqrytQPnk5xSZP4s4Nllc2iKIOLyrLccmQRBEJRCIy3jnyKRuzUANRQf4dR290Qtut1uosDQP+dIqWgUJmwz09fVh37592Lt377zX8nU40cmVme3MxO12C+cHCofDRcP8M1GrosXhwIwyt2JjdlU0giAIld7eXhw4cCBrWyAQyBs2HQ6HsWfPHlx77bXzXtu1a9e8bX6/X1f+4lJT6iI+pWhbakTDla0qTmMkouIkb9tSC1giiBaYEekX5SR4V+NvXgRR0ZogCILQx869w7j1sXew4/cf4KIfvICde4eZ24osZKmoqftYMaIWiV7yFcK2iooY/f1+Px5++GH4fD7E43GsW7cOF154oeZ7f/WrXyEQCMDhcCAcDuPWW2/NClv+9re/jZUrV2a1ue222wx3SZqd4wBgC383AnWCpar0eiaRRp0Tnsrmcsb9hSqbEwRhFR6PB8FgMOshfNeuXdi6davm+x944AHceeedmq8tX74cr776ataYODs7KyzcGDmGiTrzeCtKWjEOsyLq3uKNfCgn55dVlc3LGVE3Lu9DjTqvM+qciri0RfNkVqOwWU4LEgRBENWOGu1pU5xw21zpaM9LVnboCmsXETej0aguYdPlcqULgppFuS26VcTov2vXLtx1113pic4jjzyCdevWzcsz89xzz+Gcc87BqaeeCmBO6X7sscfw9a9/Pf2etWvX4sYbbzTv4E1Er7LPi9frRTQaRX19vW73pBVQZXOCIMqN66+/Hjt27EBDQwOi0SjWrFmTXoR78skncfbZZ2PJkiV45JFHMDk5iUcffTSr/caNG7Fq1SqsW7cOzzzzDB588EHY7XZEo1Fs3rxZ6NhU91amuCAyOSMHlrFY5eoD5vcD0TQD1C+yERHiRQXvZDJp2BxSRCQlwXs+VDCMIAjCPNRoTxl2jMkNAE5Ge5qlH8RiMV0aixWOTSOcqUZS9rNCNUF85kTlmmuu0QzLO378OD73uc+l/3a5XFmTtHLOt2UEsVjMlISxHo8HgUAA9fX1iEQiqK+vL/k+VUJJCR+PjMPXsZgqmxMEUbE0NTXhnnvu0XwtU5j82te+VvSzrrzySt37L1Q9Vqu6sqgDi4QK47AyjD03XFlUhOKNMqn2+RwPVuVtBea7o0V/87wFcso5zYAI5eo8LzeoKjpBEEZgVLSnyL07FouhpaWF+f3k7K+AHJvDw8NYvnx51rbGxkbNPI1aD3eZg9vExATa29uNP0gNrJiExONxU4RN1bEJAJFIhDtMUC879w7jpkfexkMvvK871wUw59y8cHkbiZoEQdQ8hXJHawkkVuVDJAFrPqLhyka6Pa26tuWcZsAqrMzPmdsfyY1LWEGhcY0gCIIVNdrT/sk8gzfaU8TNGI/HdS3+SpJUcfMio92eZT9zGBsbQ09Pz7ztWknOW1tbs/4OhUJZQt/4+DhGRkbw8MMPQ5IktLW14aqrrsq771gslmXpVfMWRCKRrI4Wi8UQiUTmtc3dlm8fue+Lx+NMbXPfNzs7C5/Px9w2HA6nfwCsxwvMdcJQKIRoNIpwOKy7Alc8Hoff74eiKMz7PB6Ion/3O4DiRAJ2yArQv/sdnNfbgIWNfCv7ZiFaLKlWoPPEDp0rNug88aGVh1GP2JArOiWTyarMk2kVRufnZP0sVRTNdMRRPsTywWazCTl5c++XrC5t9X6ReS2tqmxOEARBEEZgVbRn5gK03vmvOp/TW1HdCmw2m+FFC8tmRtnf34/p6emsbStWrMC5556rOcFhmYj/8pe/xE033ZT+u7m5GatWrcL5558PABgaGsIvfvEL3HDDDZrtBwYGsH37dj1fw1L0FPJRV+d5wsCM+KGEQqGsok7FGJqMfGIHt+FQas6WLSvA8FSk7IVNgiCISkLEmaeVn5MErPJB69rqEbCSyWTWgrGo4E39wjhE83Py/ua18nOKpBmgfkEQBEGUA4uavEKCJs+47PF4hHNlJhIJU6J4RShF4aGymTkMDAxobn/ppZe4VqCff/55nHfeeVkTre7ubnR3d6f/XrJkCV588cW8n9Hf349t27al/w4EAujp6YHX681yn7jd7nluFJfLxeRQEWmb+z63282cZLaxsRE2my3dXus4iu3b4/Hobqe2TSaTWLhwIfOPbtVipHNdJDH3wGyXJKzsajEtFF6USjlOq6HzxA6dq8Lw5mmrdbSqK7PmutSqrkzh5OWDSJqBfE5elnFcDVfO3A8588qHfOHken7zmaRSKebxKdeoQC5tgiAIolbxeDzCEWdmpScUQWtOKUrZ59js7OzE+Pi4rjYHDx5EIBDA2rVri753wYIFmJqa0nzN7XajsbEx679qwYrKWZno/cEZleuCIAiCKIyo+KXl/CIBqzzQClfW68wzqi0JWKWHNc2AqEtbpF9QoReCIAii2pgOx7H/eBCjfra0eyoiwqY6p9Krs1hR3bwUjs2yFzZ7e3tx4MCBrG2BQCDLiZlJOBzWrJgOALt27Zq3ze/3o7m52ZBjrSQyhU2zOzKvqLp1Qy9e+s6l+OXtF+Cl71yKrRt6S3B0BEEQtY1Ijs18xWlYBCwrJlbVAut507oOIteW1XVJApY1sKYZ0BK8RZ28IvcLguBhcHAQq1evxoYNG6w+FIIgapide4fxrV9/gPueO6S74LHb7eYWNtW5oF5h0+l0IpFIcO2Tl1KM/2UvbHo8HgSDwawvvmvXLmzatEnz/Q888ABuv/12zdeWL1+OV199NWvb7Ows06TPLFgnoaJkiotm25V9Ph9CoRBXW6psThAEIU6hB0BRZ55IxW4Sv/jIzWuqB5GQYxHHJiskePPDen1EBO98Dm/ePkUQvFBVdIIgrGbUH0H/7ncQVFyIwAlZAe7d/S6zc9NmswnPeXiETb3FoEUpxYJ3RSS9uv7667Fjxw40NDQgGo1izZo16cIzTz75JM4++2wsWbIEjzzyCCYnJ/Hoo49mtd+4cSNWrVqFdevW4ZlnnsGDDz4Iu92OaDSKzZs3W/GV8pJIJJgTrqvVpHiE0MwHyFgsZmouutmkDR8cHUfPqggJlARBEBbQ19eHvr4+BAIBNDU1Zb2WL1yZVajgXWnWysNIsCES7p9KpZgmwFqTUFYBS2RlnvoFPyLnLZlMMuXJ1Lq2rGkG1D7F03dVwZvSGRAEQRDlwqGJEGQFCOJkdHFKUXB4Imya7qGnoDQwV//EbMemw+FAOBw21NBXEbPEpqYm3HPPPZqvZQqTX/va14p+1pVXXql7/4ODgxgcHDTFSaJH2FTVdVFRMhqNmiZs7tw7jP7db2Od/Ri+t/cFDGxZQyHlBEEQZYSWUGCGA0urujLBhkgl6WQyyVR4UEvw1iNgRSL68kxltq3lStkizg3RflFqN67alidqSBVUeauvEwRBEITRLGv3pQseq9glCUvb2Qo8i5A5H9Oz6Od0OtNzNLOih0XG/3yUTwx2GWNmaIMeYdModd0sYVO1ZsuKBL/i0W3NJgiCIKyDZZIk4swTDUut9HBlkeMXdeaxiNYizjjRFAW1HK5sRpoBLVj7lBo9xIPo/YJSVxAEQRDlhFrw2PbJlMnMgse888hMTUmPFiVCKeZ2tbn8XcYkEglmkdHlchmSDyEej3N14FQqpUvRV63ZAHAo1TL3GSZbswmCIIjSISI2iDq/Kj1cmTckFzDHmSeCEdeWh2oIVxa9trwOaLMEb6sWQgiCIAiiFGzd0IvzehswPBXByq6Wstc5MnNsmilsGr04SY7NMkOvY9OoRK88E9NIJMKUf0lFtWYDQApzk2WzrNkEQRBE6dEKV2ZFZJJTDa4+M1yX+fbL25YVq5y81VCQygzXZT5KLQhb5eQtl4JU5XAM1QRVRScIolxY2OjBeUvLX9QE5sZTNfLCLGGzFPMLEjbLDJ4cm1bgdDoRCASY8nKpqNZs+ycd2UxrNkEQBHGSUj0AknuLHytdl6UWsETClauhX1iZZqCcXcxWXdty6RciaQaI+VBVdIIgahkj5nJmCZuloHxnOzWCJElZSVr1rMw7nU7LJmYejwcnTpxAb6++wj9bN/TikpUdODwRxtL2OhI1CYIgLKBQVXSrsDpc2QhEwp6tdOaVGpHJtojrshoELFHBu5yFM1HBm3dxX+1TVj+8lfv1KRUnTpzAv/7rv2LVqlXpbQsXLsRVV10FAHjllVfw1ltvwel0IhQK4dZbb0VjY6NVh0sQBGEqyWSSq/6JzWYTnvMkEgk0NDQIfYZVlO8suEZwOp1IJBJZOZBYHwBEH8ZEHjQ8Hg+CwSDXpHBRk5cETYIgCCILqxxYRoaxV3OeTKuwql8YmZ9T9NryFng0I82AVVSDY7Oaf7eFGB8fx4033oizzjpr3mvhcBgff/wx7rjjDgBz5+jnP/85brvtNrMPkyAIwhJOTM8i4lDgbono0kzcbrdwNG8lOzYpFJ2BUuZssXJyJSKKejweRKNRA4+GIAiCqGWqobqyiJAk4rrUW8yvkrAqx6aRgreIgCUqTlZy4aRCWJW3VY20UrEqzUAlMzY2ho6ODs3X9uzZg82bN6f/djgc8Pl8iMViZh0eQRCEZezcO4z/+sw+fGv3+7joBy9g595h5rZut1v4XikSSWB13ujqnAUbTClztqiOTVHM7kjlstpNEARBEOXi3qrmPJlWUS75OUXmWeTGNR4r83NmiuVWubQrmYmJibzCZjQanRcGuXz5chw5csSMQyMIgrCMUX8E/bvfQVS2I6HYICvAvbvfxag/wtTeqMLSvPNJq/NG195oWmbk5skUyc1l5uToeCCK44EYRv36LNIEQRAEYTRGVFdWJ2N6wo+18mRXaz7ESqRcBCwSv4zHZrNxi812u53b1aL2KTVUT7S4U2YqqlohkUjghRdewOjoKCRJwhlnnIFzzz0XgPYCQmdnJ44ePYoVK1Zofl4sFsu6noFAAAAQiUQqNqTSKCi6jg06T+zQuWKD5zx9cGwasgLMwIs45uYMKUXBhyPTaHYVby/LMgKBAOLxOCIRNjFURW2jt23m+2OxGGRZZm4fi8UMvUfTTKkE6JloORyOrIvPO0mLx+NwuRh6vAHs3DuM/t3vYI19Cve98wIGtqzB1g36iggRBEEQhFEY4d5SBQY9IpQqfhklbJKAZSxGuvr0XJ/ccGXRPJnVmmbAKqzqF7kkk0n4fD6utuVOf38/pqens7atWLEC3/rWt3DKKadgyZIluPzyywEAL774Il599VVceOGFmp9lt9sLRrcNDAxg+/btxh08QRCEBSxp88ImAQHl5HzBJgG9rWwmMqMigfVgs9nS82arF+hpBm0QmQ4PWZaZJzlGdcB4PG7Kqq9qkZYVwK940hbpS1Z2kHOTIAiiQhgcHMTg4KBhuSWtxsjqynqECnUil+ne4l19znR+EsZgZI5NPc68XLcnpRkoL0TSDOT2KT0Pcup9Sv2dV3OOzYGBgbyv5QqYn/nMZ/Dzn/8cF154oWZfL3ae+vv7sW3btvTfgUAAPT098Hq98Hrp2QQAnQdG6DyxQ+eKDT3naZnXi4Eta3Dv7neRUhTYJQn3bTkTyxa0MH+G2+2Goii6r4/L5YLX603/nxWfzwen05nO71lfX8/c3u12cy/6alGdo6nJqBMVdWKTSCR0TX6NyO0Vi8V0r/ry7PvQRAjyJ/O/w6m5H1lKUXB4IkzCJkEQBCN+vx8PP/wwfD4f4vE41q1bl9et8tBDD83btnHjRqxatQoA8JOf/ASyLENRFDQ3N+P6668vuv++vj709fUhEAigqalJ7MtUOLkClh6hwkj3FkACltHkCt56I2oyw1t5BO/MtpRmoHzQEq3N+M2r+1UjrMilfRL1PGjdA0+cOIHOzs68bd1ud02G9BMEUX1s3dCLS1Z24PBEGEvb63TrK1bUXUkkEnC73ZaPaTSaGoC6Mq9OivROcjIn3bwPNfF4HC0t7Go+wFc5a1m7DzYJn4ibc8dqlyQsba/T9TkEQRC1zK5du3DXXXelx41HHnkE69at01y59Hg8uPHGGzU/56mnnsKmTZuwaNEiAMDrr7+OvXv3YsOGDaU7+ApAT57MXKHCLGdebn5OovSIXlu94pe6r2p25lUiufk59fxuHQ5HVu60VCrF7DjRyttai7//Xbt24brrrsvapp4Ht9uNQCCAxsbG9GsHDhzAli1bTD1GgiAIq1jU5K0Yw1hmvRiRtDtGUHujKQeDg4NYvXp13gdFIx0bvCp7IpHQnWPT7XYjFArpchEsapqzSNs+eV5ULdKV8uMjCIKwmmg0Cp/Pl3Xvveaaa7Bnzx7dnzU5OZkWNQFg/fr1eO+99ww5zkrGLNelqNuzWlIBVApm9QstsZxVwMrNz0mUHjN/87mRUrXo0k4mk5iamkr/HQ6H088/mzZtwq9//ev0a6lUCn6/n8JeCYIgyhDVsQlYH4VAy8cMFAvZ05rkmH1R9bhTVNxuN6ampnSHsG/d0IvzehswPBXByq4WEjUJgiB0MDw8jOXLl2dta2xszFtBsdC9XSufI4Xk6XPIabm36urYohByw5X1ODBzqysTpUdEwNLr9uQVsNS2ZhWErBZ45sEqZrm0RdJPieQRLjeuv/56/PSnP4UkSZAkCYlEArfccguAuXx0K1aswODgINxuN2ZmZvD1r3/d2gMmCIKoEBKJBPMc1gicTme6EDYJm1WA1qq+lTZcVtxuN/x+P9ra2nS3XdjowcJGD62gEgRB6GRsbAw9PT3ztud7aJ2ZmcHjjz+OZDIJWZaxZcuW9CKblsu/0MNvLBbLEuICgQAAIBKJZAlssVgsPVEB5tKdZP5diNz35n5WqdpmvjcYDCKZTOpqqwrLoVAoa6JWiEQigVAolH5vPB7PK1DnkkwmEQwGNY+/GEadJ562md9PT78wqk8pisLdVm+/iEaj6feGQiH4fD5d/UJ18uk53lQqhWAwmJ5fVdpvj6etEX0qmUzqura5/UKSJKa2iqJk/ebD4TASiQST6JhIJLKeEfScp2QyidnZWeb7Szljs9nwjW98I+/rF110ES666CLdn1ttRfEIgiD0Eo/H0dzcbNr+ch2bVBW9wtGqqFoJDgy73Y5gMFgRIixBEESl0d/fj+np6axtK1aswLnnnqs58OdLRdLV1YXNmzfDZrMhmUxix44duOuuu/KOM4VSmgwMDGD79u06voV1yLJsigNLq60Z4eQiFbtrOT+nyMS5UvqFEUUlaw3Ra8s6F869J+lJM5Cbn1MPlLqiOFQUjyCIWicej5sa8ZGZYxOwNr0KCZsG4HA4EA6H03/rqYpuJZIkIRaLUdgiQRBECRgYGNDc/tJLL+l6QL322mvT/3Y4HLj11luxZ88eXH311bonEP39/di2bVv670AggJ6eHni93iwHvtvtzvrb5XIxO/Rz35v7Waxt1XAa1raZ+wmFQrr263a708KG3W5HQ0MDk1jhdrtht9vT+9Fznurr65FMJtPv13O8dXV1cDqd6cmr3u/Ke30yz5PX69X1fY3sUz6fj6utw+GY19dZj9nhcMDn8zH95hwOB/x+f/pc6fmuav5dnj7l8XjgdruzCrGY8bsthz6VSqV03S8y92O321FfX8/V1u12M4f9SZKEaDTK9Zv3+XxwOp1kRiAIgiDyYrawWU5pUspffasAtPIwVYqLolYdHwRBEFbR2dmJ8fFxLFmyhKt9c3MzZmdnAehfGXW73RWzmCWSqyeVSnF/Tz3jYm5+Tj2Qe4sPEWeeaP4n1t+biBs3M6yLp20l5+c0K0+mkW31IJJjU6QtQRAEURuICJu889lygRQtBvRWRQf4bbi1WB2RIAiilujt7cWBAweytgUCAU0hbmRkBK+++mrWNlmW0w/hmfkyVaohBxsgJkJZncCcBZGQ40oXOUQELJFQdLP6hajgzXttKz2M3apra1ZeMBHBu9KvLUEQBFF6IkngL8N+jPrZ8jerVMOCOQmbDPT19WHfvn3Yu3ev5usiE5VceCbCIup6OJ7CKwcndHd+giAIgg+Px5MuYqKya9cubNq0ad57u7q68MYbb2Rte/bZZ7Fx40YAQHt7O44dO5Z+7fXXX8fpp59eoiPXj1V5Mq1OYM6CyCSy0qsrWyVam+XME0G0X1Tyg4lVblyzopckSbJE8CYIgiCqn517h/H//eMwvvqTvbjoBy9g595h5rZOpzOrZkwlUt6zu0/w+/14+OGH4fP5EI/HsW7dOlx44YWa733ooYfmbdu4cSNWrVoFAPjJT34CWZahKAqam5tx/fXXCx+flS7L3ISteti5dxiP/8co3n7lNdgkYGDLGmzd0GvwERIEQRC5XH/99dixYwcaGhoQjUaxZs0a+Hw+AMCTTz6Js88+Ox2qfsUVV+BHP/oRXC4XZFlGb28vurq6AABf/OIX8eMf/xiKokCWZfh8Ptx0002Wfa9crBInK0XAssKZVw7hyqLX1ow0A1ZhlZNXFbytPD+iorXIYka5R0yponW5918roaroBEHUKqP+CPp3v4MmzOV8lhXg3t3v4pKVHVjUVDyXs8vl4k6DUy6U96z/E3bt2oW77rorPWF55JFHsG7dOs0E2h6PBzfeeKPm5zz11FPYtGkTFi1aBGDO2bJ37968IeZmwzOhdLlcXOq62vmX2OYebPR2foIgCIKfpqYm3HPPPZqvbd68OevvU045BXfccUfez7r99tt179+sB0BRZ141C1ii7i3elAOqcGalsGllnsxyR9Sxyeu4MErwFk0zQP1CG/X6OJ1Oqw+lbKGq6ARB1CqHJkKQFWAaJ4vZpRQFhyfCTNpONTg2y3vWj7lcYWqFSJVrrrkGe/bs0f1Zk5OTaVETANavX4/33nvPkOM0gkQioXvCwtsJ1c5/JNWc3qZ2foIgCKK6KZZixahw5Wp3XVqFaBESEUFbFWNF0gxUQj5EqxARvMshb6tVrstqFzaNTHtFEARBVBfL2n2w5UzJ7JKEpe112g1yqAbHZtkLm8PDw1i+fHnWtsbGxrxOhUKTbC3RsJyqw/IIm7ydUO38SZycQOrp/ARBEET1kilyiLgfyYFVGqyqrpwpeFvluqR+kR+r8rYCJwVvqwoAVYJLWwQRwZsgCIKobhY1eTGwZQ3sn2hhdknCfVvOZI7ErQbHZtnPDMfGxtDT0zNvez4nyczMDB5//HEkk0nIsowtW7akwxG0JgSFHCmxWCyr4mwgEAAARCKReQJkLBZDJDJXgCcej6f/zYLadnZ2FrIs62qbSqUwOzubtX8Wml3A9qtOw/ee3g9ZAWwS8M9XrUKzC0yfUy1Vd82AzhUbdJ7YoXPFBp0nfjLDla1yXVa7M08EEfeWaLiy6qqzKs2AoihVLWCJIJq3VaRityzL6c8g0ZogCIIgzGXrhl5csrIDhyfCWNpepyu9oJriSCvVY6VQNrOH/v5+TE9PZ21bsWIFzj33XM0Hm3yrll1dXdi8eTNsNhuSySR27NiBu+66K68TstDq58DAALZv367jW4iRSCR0dyan08ltG75ufRcuXtGK4akIelu9WNhYuR2ZIAiCMI5MgYRHqFDz7CWTSe5JEglY+bE6XFkVvKu5OnklYpTgrTfNgNqnjBC8qV8QBEEQBB+Lmrxc9VIkSUIikUBDQ0MJjkobo9JeqZTN7GFgYEBz+0svvaRrknbttdem/+1wOHDrrbdiz549uPrqq3Xngurv78e2bdvSfwcCAfT09MDr9cLrze4wbrc7vc3lcs17vRBqW7vdjsbGRt0PgQ6HAw6HQ9c+VZZ5vVi2oEV3OxWefdYqdK7YoPPEDp2rwlTyqqPVZIa06hUb1IlKpthBlA+Z15ZHwFLb8uRDzBS8ScAyHtGCVOHwXJ51vcJz7v1CxOFN9wuCF6qKThAEwQ9PWkQRRBbatSh7K0RnZyfGx8e52zc3N2N2dhZA4fybWrjdbjQ2Nmb9V0ri8ThXZ6KJIEEQBGEkmY5NvSKUiChKlB7Ra8vbVg1XVtvSvKW8sKpfANkFqcilTfBSrCgeQRAEkR+z5+yixSxzKfvZQ29vLw4cOJC1LRAIaOZmGhkZwauvvpq1TZbl9AXKzJepUk452FKpFNeELh6Pw+VyleCICIIgiGpkcHAQq1evxoYNGzRfz1xF1StCiYaxE6Ul89qKOvP0CpvqfinNQPmR6cbV+5sX6VOZgjdBEARBENZgtmOz5oRNj8eDYDCYZVPdtWsXNm3aNO+9XV1deOONN7K2Pfvss9i4cSMAoL29HceOHUu/9vrrr+P0008v0ZHzoddVCswJtiRsEgRBEKwUc7aIiJOZbdXQYz1Q5d/Sknk9zHTmiVbdJvSh1/2YK2xSvyAIgiCI2qHShc2KsFFcf/312LFjBxoaGhCNRrFmzRr4fD4AwJNPPomzzz4bS5YsAQBcccUV+NGPfgSXywVZltHb24uuri4AwBe/+EX8+Mc/hqIokGUZPp8PN910k2XfKxORB7l4PM5dXZQgCIIgcjHKmaeXzOrKBBsi4bs8zjzeHJuiE1gekbyW0XttM/Nz8ixmqPk5RfoUQRAEQRDWYEWOzZoTNpuamnDPPfdovrZ58+asv0855RTccccdeT/r9ttvN/TYtNA78RYNw6FQdIIgCMJIckPR9YocanVlvajuLRI22RGtQq1nEmuVM48Eb/2I9gs9xddyXdp6hHZRxyYJ3gRBEAQhjtnzLKMjNso+FL0cKJaLLBe97kuHw4FEIsFzaABI2CQIgiCMJVMo4HHmiQhY5N7Sh2gVat58iHoFJREnL4Ur60ckv61Ijk29iDh56X5BEARBEMZgdiqomsuxWQ6Uusqe0+lEIpHgXnGmKpIEQRBEqdArYImIUEa4tyoRkeMWdebpaZsZrqwXK/tFpSKaZsCsfiEiMFK/IIxCrxGFIAiCOElcseGVgxMY9UdM2V9N5tisNPQKlOrEjPdhISZLeOXgBJa1+7Coycv1GQRBEETtMDg4iMHBwZK4nawSOSo5XFlEwDLTmSeCVc48VYytxHBlM9MMZKK3T4mcW9H7BTk2K4s///nPePfdd+dtHxoawve//30AwEMPPTTv9Y0bN2LVqlUFP7uvrw99fX0IBAJoamoy5oAJgiBqgJ17h/Hzl49i3x8TsEnAwJY12Lqht6T7rMkcm5WGXoHS6XQiFotx7Wvn3mH8/JVj2PenpGmdkCAIgqhsSvkAKCpURKNR7raVmp9TVMDiTUcjIorqxSpnntofzfqeRiLaL7xevsVuM4Vgq/pFJQvelcwFF1yACy64IGvboUOHMDIykv7b4/HgxhtvNPvQCIIgapJRfwT9u9/BEtvcfENWgHt3v4tLVnaU1DRn9PhL8ctlgNPp5JqYqZ0wrMytyKud0Cz7MEEQBEHkIhKuLCKKiuT5sxqrXJdmCjs2m80yJ6+Vrj6RNAN689vmtq0EMVfUyVup/YLSSJ3kpZdewkUXXWT1YRAEQdQkhyZCkBVgTK5Pb0spCg5PhJnaS5IkVAjbKGhELQE8oeg8OTbVTngs1ZjepqcTEgRBEEQ5Ucn5OSslT6ZViAiolZyHUSQ9Qi30C6sEb6v7RaVcn1KTSCTmpUwgFy1BEIR5LGv3wSYBIcWd3maXJCxtr2Nq73A4EIvFLI+YohGVAb25yHhC0XlybKqdMKGcvIx6OiFBEARBlBOiQoVoDkcRoUFUwKp2Z54IVuVtBcRdrSKuS5E0A5WSlkFU8K7UiuqVcn1KzbPPPovLL788a9vMzAwef/xxJJNJyLKMLVu2FEyZEovFslJ6BQIBAEAkEuHOM1st8KZ2qTXoPLFD54qNSjpPzS5g+1Wn4XtP74esADYJ+OerVqHZNXcfLYYsy5ienkYqlWJ6fybxeJz3sOdR3TNhg9CTi4xnAswbtreoyYuBLWtw7+53kVIU2CUJ9205kwoIEQRBEBWJqHtLJD+nqEAo6q5zu93F35inbbULJFY588qhX9TV8S9WV7vzzer8nCJUu2Ozv78f09PTWdtWrFiBb33rW1nbpqen0dLSkrWtq6sLmzdvhs1mQzKZxI4dO3DXXXflFSkHBgawfft2Y78AQRBEDXHd+i5cvKIVw1MR9LZ6sbDRw9xWnX9bPaZV74hqESIr8zxs3dCLS1Z24PBEGEvb60jUJAiCIIpSyqroIohWVxYVOXjFRcDafIjVLmCJCN52ux2JRIK7rahwLHJtzZ5TVhpG/OZ595tKpSBJEneezGp3Wg8MDBR9z4cffoiVK1fO237ttdem/+1wOHDrrbdiz549uPrqqzU/p7+/H9u2bUv/HQgE0NPTA6/Xy11Aq9qg88AGnSd26FyxUUnnaZnXi2ULWoq/MYf6+npMTU3B5/Pp/r68USlaUI5Ng9HKFcMK74PJoiYvLlzeRqImQRAEwURfXx/27duHvXv3Wn0ohmGEM4/XhaUoSk3kQ7QKq/NzUp7M8sRms3EXLDCiX9C1FePVV1+dVyFdi+bmZszOzuZ93e12o7GxMes/giAIwhycTiei0ajlqT9qe0QtASITFdGwFoIgCKIy8Pv9ePjhh+Hz+RCPx7Fu3TpceOGF89736KOPZuUOA4CRkRFcfPHFuOyyywAA3/72t+e5Xm677baqd/HlIppvLx6PcwlY6n5FRQ5y5pUGIwRvnuujhiuLOnmpX+RH1OEtmrfVZrMJ/eYrycljNNFoVPP7j4yMYGhoKGs8lGW55kVggiCIcsXhcCASiVh+n6ZRwmBoBZYgCIIoxq5du3DXXXelRYtHHnkE69atg8eTndPmpptumtf2sccew6WXXpr+e+3atbjxxhtLe8AVgGh+Tl5xMtO9lXv9WCEBq3RY5cxTw6RFF7xrbYHCLNRry2MqEBE2VcG71p8X9uzZgyuuuGLe9q6uLvzmN7/JEjafffZZbNy40czDIwiCIBhxOp3cwqaRxr7aHVENRpIkyLIsVMGSJq8EQRDVTzQahc/nyxKyrrnmGuzZsycrt5gWqgCmjhfVnqdND0aEK/OcT1XAEhUnaQ5QGtRwZZ7Js+rk5ekXqlhOv9HyRCTNgOr25HV4895rqgm/3583ZPyKK67Aj370I7hcLsiyjN7eXnR1dZl8hARBEAQLNpsN8Xjc8jGtdkdUHbAUWchc1eetYEmh6ARBENXP8PAwli9fnrWtsbGRqaL3c889h89+9rPpvycmJtDe3m74MVYyvA4sIxybvO4tovTwCM8i19aIPIxE6VAFb95rGw6HIUmS7oJjmf2ill3at9xyS97XTjnlFNxxxx26P7Nci+IRBEFUM5IklcWYRjMtBvr6+tDX14dAIICmpibN94jm2EqlUpYnXCUIgiBKz9jYGHp6euZtZymCMTY2ho6OjvTf4+PjGBkZwcMPPwxJktDW1oarrroqb/tYLJaVszMQCAAAIpHIvDEoFoshEokgHo8jEokUPbZM1DbqZ5jVNhaLIRgMIplM6mqbSqXSYTRut1tX22QyiXg8jlAohEQioauYSTKZRDAYtOQ8iVyfaDTK1S+s7FPBYDB9nVlJJBIIh8OQZRkul0t3v4jFYohGo4jFYrocuWp/qrTfXiX2KZ77RSKRQCgUSldF19sv1N88y2JWJrFYjJ4VCsDyvEYQBEGUBqsjj0jYNAh1BZa3KrqI05MgCIIoP/r7+zE9PZ21bcWKFTj33HM1VzWLOfcOHz6MpUuXZm1rbm7GqlWrcP755wMAhoaG8Itf/AI33HCD5mcMDAxg+/btOr5F5cET4qnm5+QNRVcLD9lsNl1tRfI/EvrgcROIROOo/QLQP9kXKWxTi4i4nnn6hZp+gifHpsi1JYc3QRAEQWhDwqZBqJMcngcbYG71lzc3J0EQBFF+DAwMaG5/6aWXuB5s//SnP+FrX/ta1rbu7m50d3en/16yZAlefPHFvJ/R39+Pbdu2pf8OBALo6emB1+udV6HW7XbD6/XC5XLprt6rtlE/w6y2brcbTqcTPp+Pa792ux319fW62iqKkh7D9YpfPp8PTqfTkvMkcn08Hg9XvxDtUx6Ph/uYefuF0+mEw+FAfX29rrBj1cnL813VflFpvz2r+pS6T95+4XQ6dbV1u92YnJyEJEmor6/XJW7W19cjmUxynafc3MwEQRAEQcyhX4EjNBF1XfA6PQmCIIjKorOzE+Pj47ra6BkjFixYgKmpKc3X3G43Ghsbs/4rR0QdWLw5DUVcfTyoi6I81KJ7S6RAk2i/MNOZR05efZj9m1fzc/L0R5HfPDl5CYIgCEIbEjYNQs2xyZtbIB6Pk7BJEARRA/T29uLAgQNZ2wKBQEE32L//+7/j8ssvn7d9165d87b5/X40NzcLH6eViFQMFklgLlL9mgfRtrUmfokIWCJ9KpVKmZpmQKRfSJKkK89rNWC2aJ2J3nm/VfcLgiAIgqhmSNg0CHUFltc9QY5NgiCI2sDj8aQLVqjs2rULmzZtyttmcnISra2t87YvX74cr776ata22dlZrpQo5YSIOCkiVPCkk1HdWzxY5fasVMx25mVipoAlcm0rVfwyO09mZlszq9ZbJXjXAoODg1i9ejU2bNhg9aEQBEHUFFYXDgIoxyYTg4ODGBwcLDiZMMI5QcImQRBEbXD99ddjx44daGhoQDQaxZo1a+Dz+QAATz75JM4++2wsWbIEAHDgwAGceuqpmp+zbt06PPPMM3jwwQdht9sRjUaxefNm075HqbDKmQeYOzmrRZFDURTucyzq5DVTwFIFb57v6nA4EIvFuPZbqU5eUUetVfcLvYiK1pV4bc2CqqITBEFYQ0Jy4JWDE1jW7sOiJn35o42ChE0GWAZKdbLBO1mPKTa8dnja0s5AEARBmENTUxPuuecezddyhclTTz01r7AJAFdeeaXu/bMs2IlSSXkyrcIqkcPKcGXRPJmV4swToRadvKL9wuPxcO/XTIe7zWbjvjdSjk2CIAii3Ni5dxgP/3EI7z8fgU0CBraswdYNvaYfR0XM8Px+Px5++GH4fD7E43GsW7cOF1544bz3Pfroo/NWuEdGRnDxxRfjsssuAwB8+9vfxsqVK7Pec9tttwk7NNT2PJOVnXuH8dDvD+FAatbSzkAQBEHUBmY4W6xyXVaagGVFjk0r3Z6iorXeStIqPGkGrMKqPIwiaRVEqaQ8mVZRqS5tgiAIojoZ9UfQv/sdLLHNjcGyAty7+11csrLDdLNeRcz8d+3ahbvuuiu9kvvII49g3bp181Znb7rppnltH3vsMVx66aXpv9euXYsbb7yxtAesA7UztEtzRSOs7AwEQRAEYRSi4mQtCFgiQpLdbucOV7bS1Wd2cadMKkXAssrJK+oIFHFpi4aTV4pLWwQSNgmCIIhy4tBECLICTMp16W0pRcHhiTCTlmXkvKzsZ/7RaBQ+ny9rwnLNNddgz549RduqEx31hJmRR0fvxVE7w5jckN6mdgaCIAiCsArRcGVyYJUWUcemiLBZK3kyrUIkXNnKfmHVta2VfkGh6ARBEEQ5sazdB5sEBJSThkO7JGFpe12BVqWh7GcBw8PDWL58eda2xsZGRKPRom2fe+45fPazn03/PTExgfb2duZ9x2KxLDdEIBAAAEQiEc1CP7FYDJIkIRKJMO9jUb0dNmnOqalik4CF9TZdn2M2LOefmIPOFRt0ntihc8UGnScxRHNHW+nMqwWsCkW32WxIJBKW5LqspPypVmFlcRrR37xI20pxaYsgIngTBEEQhNEsavJiYMsa3Lv7XaQUBXZJwn1bzrQk8rjsnxrGxsbQ09MzbzuLi2RsbAwdHR3pv8fHxzEyMoKHH34YkiShra0NV111Vd72AwMD2L59O9+BM7Kw0YPtV52G7z29H7IyJ2puv+o0LGzkS4JOEARBEEagVmYmB1Z5YmW4smi/qKvjW8mvpDQDVmFV3lZV8CaXNmEVZhTFIwiCILLZuqEXl6zswOGJMJa211FV9P7+fkxPT2dtW7FiBc4991zNFdxiK5aHDx/G0qVLs7Y1Nzdj1apVOP/88wEAQ0ND+MUvfoEbbrgh7zFt27Yt/XcgEEBPTw+8Xq9m7i+32w1JknTnBbvpouX47JldlncGHnhzoNUidK7YoPPEDp2rwvBWya0FWB4A7XY7otGokIvK7XZztSUBqzii1ZV5Hc0OhwPxeNyyfIgkYBVGVLROJBJc51jtU1YUDCMIwJyieARBEMR8FjV5LdewymYGMTAwoLn9pZde4lp5+9Of/oSvfe1rWdu6u7vR3d2d/nvJkiV48cUX836G2+3W/VDG+5BRDp2BIAiCqA1YHgAdDge3UGGz2RCPx9HY2Ch6qEQJcDgcQgJWLBbjXjggN25pkSRJKD9nMBjkEp5Vh7fP5+PaNwmbBEEQBFFbGDnul70dorOzE+Pj47raJBIJzRyYWixYsABTU1M8h0YQBEEQVYuIsKmKX5QPsTxRRSie6yNybVXBmwSs8kTkN6+25f3Nk0ubIAiCIGoLI8f9sp9B9Pb24sCBA1nbAoFAQSflv//7v+Pyyy+ft33Xrl3ztvn9fjQ3NwsfJ0EQBEFUEyI5NkXzcxKlRSRPpmi/SCQSJGCVKVb95u12O1PufIIgCIIgqoeacmx6PB4Eg8GsfEG7du3Cpk2b8raZnJxEa2vrvO3Lly/Hq6++mrVtdnaWJtgEQRAEkYNIjk01DyONr+WJSKEXEVFUpOARwY6iKEJ5MnmdvCIOb+oXBEEQBFFbGBnZVRFWiuuvvx47duxAQ0MDotEo1qxZk87h8+STT+Lss8/GkiVLAAAHDhzAqaeeqvk569atwzPPPIMHH3wwPQHbvHmzad+DIAiCICoFUfcWb2Vam81GIgcjiqJwi8e8uS5F+wVd29KTSqXgcrl0t5MkyZJ+YbfbqZI1IQxVRScIgqgsjHRsVoSw2dTUhHvuuUfztVxh8tRTT80rbALAlVdeqXv/NFASBEEQtYZojk1eAUvdL1GcZDKJuro67rZm59gUETZJ8GaH99qqbXmFTV6XNgne1Ycsy3jhhRfQ1taGdevWZb32yiuv4K233oLT6UQoFMKtt96aVWjuJz/5CWRZhqIoaG5uxvXXX8+0T6qKThAEUVnUnGPTamigJAiCIKoJlgU71b1ltoAl4vasNUQqSfO2FcmTKXJtSfBmR6TyvEi/4P3Nizg27XY7EokEV1uiNPziF79AIBDA5ZdfjpdffjlL2AyHw/j4449xxx13AJjrqz//+c9x2223AQCeeuopbNq0CYsWLQIAvP7669i7dy82bNhg/hchCIIgSoqRwiYlvyIIgiCIGqOvrw/79u3D3r17C76PN9RZVOQg9xYbVjjzeHI3qog6eWupX/DmyQTEhE0RJ6+IaE33i+rhK1/5Cv7Tf/pPWLZs2bzX9uzZkxVt53A44PP5EIvFAMzVSVBFTQBYv3493nvvvdIfNEEQBGE6JGwSBEEQBFG2iDrzRMKVK626shV5MkXb8kJOXnascF2K7FeSJCiKwrVPq0RRojQUEuSj0SgaGhqyti1fvhxHjhwBADidznlt3G63sQdIEARBlAUUik4QBEEQRNlilTOvEsOVk8kkV6EXta3ZzjwRrHLm2e12xONxrrZWYdW1FRHaeRH9zZOwWTloid+dnZ04evQoVqxYofl6scWqWCyWdnwCQCAQAABEIhFNobSWqLTx0CroPLFD54oNOk9sGDk3I2HTQKyYDBIEQRBEuSESrmyV29MqrHLmWTFnscqZ53A4EIlEuNpahRWuS6sQ7Rci+TmtELyr4Xmhv78f09PTWdtWrFiBb33rW7o/q1ie1GJO4IGBAWzfvl33fgmCIIjqoXJmPRWASHVSgiAIgiDEnXm1JGxa4boUQVTwrrR+IZpmwOz8qVYhWjxIRPAOh8NcbUWohueFgYEBrnZa94BMEZ/nHtHf349t27al/w4EAujp6YHX64XX6+U6zmqDzgMbdJ7YoXPFBp2nwng8HsM+q3JmPRbCUj0WmJuo1HrIA0EQBFH+sI5rVmBVHkaR6sry/7+9+4+Nus7zOP6aH2UYCm2JFelioR6VH0VA3a0k7a4Rk42mpjGpZF12S6ouuqvdmF3NeYd6cY3ZQxPCxT3qeiLZYmUNZGFdcOPdKeidFlYxbssPFxeOHy0UgRY6LWUK7cz3/kAGp7/mO9/vdKbfmecjIaHfmXfnM+/vZ/rqfPr9zjccdtTnITqRE4/kDYVClj8f0O6RvCx4m6tNxc9AO695pxtqX586dUpTpkwZ9vZYfD4fn8MJABnO2edBJInZq8dm0hsMAIBzmc21VEjl1ZWtPm6qjrrMpAWSVH1uq915kYqjLtPhVGeznHgkr9OOtE4kn88X+QzMKw4ePKjCwkJJivqszCv4rDoAQCyZ8dtwkhiGkTFvMAAA9oTDYe3YsUPXXHONbrnllmHvt3PnTjU3NysrK0s9PT168MEHlZOTE7l93bp1CofDMgxDeXl5+sEPfpCwMdo5C8Fqrcvlslzr9XotH/1lp9btdlvOf5fLZbnWzphTsW/t1Ho8HsuLdV6v11at1SN57exbO3PKafvWTq3dfWvn50Wsi9oMx868cLqKigpt2rRJNTU1ki7/cSYQCERO18zPz9eJEyc0bdo0SdLnn3+uuXPnpmy8AABnyMxUHSUejydjf1EBAJj3+9//Xl1dXbrrrrvU2Ng47MLmhQsXdPjwYT366KOSLh/ps379ev3kJz+RJG3btk0VFRUqKCiQdPlN4O7du1VaWpqQcdo5vS8VtXZy2OPxWD6Kyk6t1+u1PGY7PbbzuUZWr+IuWR+zy+WyNS/s7Fs7C8+pmFOpet2mYk7ZWQC289rzeDy2FkUz9f2C3+9XcXGx6urq5PP51NnZqYceeihye2VlpdauXSvDMBQOh5Wdna1ly5alcMQAACfIzFQdJecvhfX58S7Nnpalglw+KBYAMLSlS5dG3hQ3NjYOe793331X9957b+Rrr9er7OxsXbx4UT6fTx0dHZFFTUm69dZbVV9fn7CFzYuGWzv/r1035GfHlWsnA0Gd6O7XyUAw7jy0U9ve06ejZ4OaZqH2XG9Ih9uDusZCbdfFkI62deum8Tlx156/FNbulk4VX5cbd63V/SNJvWFrtV919artfCjp+9bWvLjQp8MdQU21OC+Onjov/zXW5kXbyR65J8Zf29Nn6NNjnfqHaycmdV7Yes139VnaP3bm1FddvZbnRceFPh1qv6B8C7WdvSEdP9ujcXnW5sXp4wHNcfnin48Xkn8Vdzuqq6sHbSsvL1d5efmwNQ8//LClxxrLnx0NABjsVHfiPmqEhc0E2bi7Ra+8/YVOhCYp7PJoZdV83V86PdXDAgCMQWaP9Ont7dWkSZOits2cOVOtra0qLi4e8vTNRF1EYePuFv3Hu4d0OHRWbpdM59rG3S1asWWvZrjP6p//53xceWi/do9muM/pqQ+64q59YUuTJrguqv2/Tsddu/qPzTpvZCmoL+OuffWdAzoSOiW3yxV3rZX9E6n9T3v79tnGHUnet9Zrn9nSrGmugP5x+7m4a//1j7uVZYR0dmtr3LUvv31AZ0N+XXIdtLBvD+pwqMPavrUzL+y+5v+3x/K+Tfac+pctTZri6lbbf7fHXfviHz+TDEMBHY279t/f3qfToWz1u7xx1/7bOwdM3TcT1dbWqra2Vl1dXcrNzU31cAAAI9i4u0X/9NanCft+LGwmwMlAUCu27FWexikktwxDenrLPt0+61qO3AQAWGYYxqBtU6ZM0fHjx1VcXDzk7SN97tvFixejLs5w5SIOwWAwapH0q65erdiyV5N1eZE0bEgrtuzVbdMnaWrO8KebXqkLG1JX2Ge6LnG1Lsu1HsMtl7Is1WbLqz7Do7Dir73cY5elx413/9ipTf2+tTcvzmucpdosw6uQy9r+mahx6pd7zO9bO7Wp37fWaw3DrR6L88JneOWSYek1n2NjXuSEeesGAHC2K+tn4cFvYyzLjEsm2lRXV6eSkpJhT+070t6jsCGdNSbI0OWjcEKGoaPtF5I5TADAGLJixQr97Gc/i/q3atUq29/X4/GMeDGToRY7r1i5cqVyc3Mj/65ciXagYx1BhQ2pw8iObAsbUsvZ4Ihju1InXa01UzcWavvkVbcx3lJttzFel77+W3G8tfH2OFW1qd4/9mpdlmsvyqvzxtXFvnhqu4zx6pfHUi3zYvRrDbl0zphgqTaoLF3QOEu1nYZf4a/fgsVbe/Yb+wcAACe6sn6WSPzZz4RYpzbckJ8tt0tRO8fjcqkof0ISRwkAGEtWrlxp+3sMdcp6KBSKXHgi3otXrFixQk888UTk666uLhUWFsrv90euSitJs6dpyFyb9a3JUfcbyGodtWO/1mnjpTY5tU4br+NrR7wXAABjX2T9LIHfkyM2E6Ag16+VVfPl+foNpsfl0r9W3cRp6AAAW4ZauDx16pSmTJky7O0j8fl8ysnJifo3FKu5ZicPU13r/rqVThpzMmvpE3NqtB4zE/qUqFp3fD/yAQAYc0Yj01zGSOesIcqVIzYDgcCQbwZPBoI62n5BRfkT0n5RMxi8fNpMrL8wg16ZRZ/Mo1fmnDp1SlOnTh32Z/ZY8eabbw555VhJ2rx5s77//e9HjX/Dhg2qqqqS3+/X7373Oz344INRNa+//rqWL19u6rFHK9fs5GGqao+cOqeWs0HN+tZkx4w5FbX0ybxM6hV9Sk7tnkPHtPDGojGfa6kUK9cyCb8vmkOfzKNX5tAncxKZaZyKnkAFuf60X9AEACRPRUWFNm3apJqaGkmXT0MPBAKRX5Ty8/N14sQJTZs2TZL0+eefa+7cuQl7fKu5ZicPU1U7NWe8puaMt/RLqBOfr9Va+mReJvWKPiWn9rpJI19kKJPV1dWprq5OoVAo1UMBAJiQyExjYRMAgDHkT3/6k26++WbNmDFDfr9fxcXFqqurk8/nU2dnpx566KHIfSsrK7V27VoZhqFwOKzs7GwtW7YshaMHACD5Yl0TAQCQvljYNIG/AAIARsvA09DvvffeqK/Ly8tVXl4+bP3DDz8c92OSawAAAADSARcPMqG2tlZffPGFdu/eneqhAABgG7kGAAAAIB2wsAkAAAAAAADAcVjYBAAAAAAAAOA4LGwCAAAAAByrrq5OJSUlKi0tTfVQAABJxsWD4mAYhiSpq6srxSNJvWAwKEnq6+tL8UjGPnplDn0yj16Z093dLenqz24MRq5dxevKHPpkHr0yhz6ZR64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      "text/plain": [
       "<Figure size 1600x800 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(16, 8))  # 创建绘图窗口\n",
    "\n",
    "## 生成几何数列（GP）并绘图\n",
    "for pos, q in enumerate(q_list):\n",
    "    GP_sequence = [a*q**i for i in range(n)]  # 生成几何数列\n",
    "    index = np.arange(1, n + 1, 1)  # 生成索引序列\n",
    "\n",
    "    ax = fig.add_subplot(2, 3, pos+1)  # 创建子图\n",
    "    ax.set_xlabel(\"Index, $k$\")  # 设置x轴标签\n",
    "    ax.set_ylabel(\"Term, $a_k$\")  # 设置y轴标签\n",
    "    ax.set_xlim(1,n)\n",
    "    ax.plot(index, GP_sequence, marker='.', markersize=6, linestyle='None')  # 绘制几何数列点图\n",
    "    ax.plot(index, GP_sequence, color = '0.5', lw = 0.2)\n",
    "    ax.grid(linestyle='-', linewidth=0.25, color='0.8')  # 设置网格线样式\n",
    "\n",
    "plt.show()  # 显示图形"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
